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Finding the Fourth Proportional to 415,706.34, 573,292.17 and 272,414.34

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Solution

The fourth proportional to 415,706.34, 573,292.17 and 272,414.34 is: 375,681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,706.34 : 573,292.17 = 272,414.34 : x
  2. Step 2: Convert to fraction form
    415,706.34/573,292.17 = 272,414.34/x
  3. Step 3: Cross multiply
    415,706.34x = 573,292.17 × 272,414.34
  4. Step 4: Simplify right side
    415,706.34x = 156,173,008,117.72
  5. Step 5: Solve for x
    x = 156,173,008,117.72/415,706.34
  6. Step 6: Final answer
    x = 375,681.08

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.