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Finding the Fourth Proportional to 411,148.13, 616,764.50 and 155,196.29

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Solution

The fourth proportional to 411,148.13, 616,764.50 and 155,196.29 is: 232,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,148.13 : 616,764.50 = 155,196.29 : x
  2. Step 2: Convert to fraction form
    411,148.13/616,764.50 = 155,196.29/x
  3. Step 3: Cross multiply
    411,148.13x = 616,764.50 × 155,196.29
  4. Step 4: Simplify right side
    411,148.13x = 95,719,559,119.88
  5. Step 5: Solve for x
    x = 95,719,559,119.88/411,148.13
  6. Step 6: Final answer
    x = 232,810.40

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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.