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Finding the Fourth Proportional to 334,089, 500,895.43 and 156,499.13

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Solution

The fourth proportional to 334,089, 500,895.43 and 156,499.13 is: 234,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,089 : 500,895.43 = 156,499.13 : x
  2. Step 2: Convert to fraction form
    334,089/500,895.43 = 156,499.13/x
  3. Step 3: Cross multiply
    334,089x = 500,895.43 × 156,499.13
  4. Step 4: Simplify right side
    334,089x = 78,389,699,876.97
  5. Step 5: Solve for x
    x = 78,389,699,876.97/334,089
  6. Step 6: Final answer
    x = 234,637.18

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