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Finding the Fourth Proportional to 415,311.84, 573,130.69 and 224,325.38

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Solution

The fourth proportional to 415,311.84, 573,130.69 and 224,325.38 is: 309,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,311.84 : 573,130.69 = 224,325.38 : x
  2. Step 2: Convert to fraction form
    415,311.84/573,130.69 = 224,325.38/x
  3. Step 3: Cross multiply
    415,311.84x = 573,130.69 × 224,325.38
  4. Step 4: Simplify right side
    415,311.84x = 128,567,760,695.93
  5. Step 5: Solve for x
    x = 128,567,760,695.93/415,311.84
  6. Step 6: Final answer
    x = 309,569.22

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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.