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Finding the Fourth Proportional to 415,929.71, 573,843.38 and 339,316.35

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Solution

The fourth proportional to 415,929.71, 573,843.38 and 339,316.35 is: 468,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,929.71 : 573,843.38 = 339,316.35 : x
  2. Step 2: Convert to fraction form
    415,929.71/573,843.38 = 339,316.35/x
  3. Step 3: Cross multiply
    415,929.71x = 573,843.38 × 339,316.35
  4. Step 4: Simplify right side
    415,929.71x = 194,714,439,476.68
  5. Step 5: Solve for x
    x = 194,714,439,476.68/415,929.71
  6. Step 6: Final answer
    x = 468,142.66

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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.