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Finding the Fourth Proportional to 415,707.84, 573,294.24 and 272,415.84

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Solution

The fourth proportional to 415,707.84, 573,294.24 and 272,415.84 is: 375,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,707.84 : 573,294.24 = 272,415.84 : x
  2. Step 2: Convert to fraction form
    415,707.84/573,294.24 = 272,415.84/x
  3. Step 3: Cross multiply
    415,707.84x = 573,294.24 × 272,415.84
  4. Step 4: Simplify right side
    415,707.84x = 156,174,431,956.76
  5. Step 5: Solve for x
    x = 156,174,431,956.76/415,707.84
  6. Step 6: Final answer
    x = 375,683.15

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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.