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Finding the Fourth Proportional to 415,970.64, 574,039.51 and 224,983.98

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Solution

The fourth proportional to 415,970.64, 574,039.51 and 224,983.98 is: 310,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,970.64 : 574,039.51 = 224,983.98 : x
  2. Step 2: Convert to fraction form
    415,970.64/574,039.51 = 224,983.98/x
  3. Step 3: Cross multiply
    415,970.64x = 574,039.51 × 224,983.98
  4. Step 4: Simplify right side
    415,970.64x = 129,149,693,074.59
  5. Step 5: Solve for x
    x = 129,149,693,074.59/415,970.64
  6. Step 6: Final answer
    x = 310,477.91

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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.