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Finding the Fourth Proportional to 397,242.13, 596,131.10 and 147,924.13

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Solution

The fourth proportional to 397,242.13, 596,131.10 and 147,924.13 is: 221,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,242.13 : 596,131.10 = 147,924.13 : x
  2. Step 2: Convert to fraction form
    397,242.13/596,131.10 = 147,924.13/x
  3. Step 3: Cross multiply
    397,242.13x = 596,131.10 × 147,924.13
  4. Step 4: Simplify right side
    397,242.13x = 88,182,174,333.44
  5. Step 5: Solve for x
    x = 88,182,174,333.44/397,242.13
  6. Step 6: Final answer
    x = 221,985.96

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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.