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Finding the Fourth Proportional to 415,862.29, 623,832.72 and 116,342.92

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Solution

The fourth proportional to 415,862.29, 623,832.72 and 116,342.92 is: 174,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,862.29 : 623,832.72 = 116,342.92 : x
  2. Step 2: Convert to fraction form
    415,862.29/623,832.72 = 116,342.92/x
  3. Step 3: Cross multiply
    415,862.29x = 623,832.72 × 116,342.92
  4. Step 4: Simplify right side
    415,862.29x = 72,578,520,236.34
  5. Step 5: Solve for x
    x = 72,578,520,236.34/415,862.29
  6. Step 6: Final answer
    x = 174,525.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.