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Finding the Fourth Proportional to 415,141, 572,860.56 and 233,794.96

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Solution

The fourth proportional to 415,141, 572,860.56 and 233,794.96 is: 322,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,141 : 572,860.56 = 233,794.96 : x
  2. Step 2: Convert to fraction form
    415,141/572,860.56 = 233,794.96/x
  3. Step 3: Cross multiply
    415,141x = 572,860.56 × 233,794.96
  4. Step 4: Simplify right side
    415,141x = 133,931,911,710.78
  5. Step 5: Solve for x
    x = 133,931,911,710.78/415,141
  6. Step 6: Final answer
    x = 322,617.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.