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Finding the Fourth Proportional to 415,673.37, 573,631.88 and 224,686.31

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Solution

The fourth proportional to 415,673.37, 573,631.88 and 224,686.31 is: 310,068.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,673.37 : 573,631.88 = 224,686.31 : x
  2. Step 2: Convert to fraction form
    415,673.37/573,631.88 = 224,686.31/x
  3. Step 3: Cross multiply
    415,673.37x = 573,631.88 × 224,686.31
  4. Step 4: Simplify right side
    415,673.37x = 128,887,226,423.97
  5. Step 5: Solve for x
    x = 128,887,226,423.97/415,673.37
  6. Step 6: Final answer
    x = 310,068.52

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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.