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Finding the Fourth Proportional to 411,123.60, 616,600.65 and 158,317.32

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Solution

The fourth proportional to 411,123.60, 616,600.65 and 158,317.32 is: 237,443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,123.60 : 616,600.65 = 158,317.32 : x
  2. Step 2: Convert to fraction form
    411,123.60/616,600.65 = 158,317.32/x
  3. Step 3: Cross multiply
    411,123.60x = 616,600.65 × 158,317.32
  4. Step 4: Simplify right side
    411,123.60x = 97,618,562,418.26
  5. Step 5: Solve for x
    x = 97,618,562,418.26/411,123.60
  6. Step 6: Final answer
    x = 237,443.34

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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.