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Finding the Fourth Proportional to 406,252.47, 608,857.16 and 153,231.60

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Solution

The fourth proportional to 406,252.47, 608,857.16 and 153,231.60 is: 229,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,252.47 : 608,857.16 = 153,231.60 : x
  2. Step 2: Convert to fraction form
    406,252.47/608,857.16 = 153,231.60/x
  3. Step 3: Cross multiply
    406,252.47x = 608,857.16 × 153,231.60
  4. Step 4: Simplify right side
    406,252.47x = 93,296,156,032.10
  5. Step 5: Solve for x
    x = 93,296,156,032.10/406,252.47
  6. Step 6: Final answer
    x = 229,650.68

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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.