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Finding the Fourth Proportional to 411,077.40, 616,242.38 and 158,196.62

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Solution

The fourth proportional to 411,077.40, 616,242.38 and 158,196.62 is: 237,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,077.40 : 616,242.38 = 158,196.62 : x
  2. Step 2: Convert to fraction form
    411,077.40/616,242.38 = 158,196.62/x
  3. Step 3: Cross multiply
    411,077.40x = 616,242.38 × 158,196.62
  4. Step 4: Simplify right side
    411,077.40x = 97,487,461,616.76
  5. Step 5: Solve for x
    x = 97,487,461,616.76/411,077.40
  6. Step 6: Final answer
    x = 237,151.11

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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.