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Finding the Fourth Proportional to 415,333.78, 573,160.85 and 224,347.17

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Solution

The fourth proportional to 415,333.78, 573,160.85 and 224,347.17 is: 309,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,333.78 : 573,160.85 = 224,347.17 : x
  2. Step 2: Convert to fraction form
    415,333.78/573,160.85 = 224,347.17/x
  3. Step 3: Cross multiply
    415,333.78x = 573,160.85 × 224,347.17
  4. Step 4: Simplify right side
    415,333.78x = 128,587,015,025.89
  5. Step 5: Solve for x
    x = 128,587,015,025.89/415,333.78
  6. Step 6: Final answer
    x = 309,599.22

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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.