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Finding the Fourth Proportional to 413,130.12, 569,989.62 and 231,815.40

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Solution

The fourth proportional to 413,130.12, 569,989.62 and 231,815.40 is: 319,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,130.12 : 569,989.62 = 231,815.40 : x
  2. Step 2: Convert to fraction form
    413,130.12/569,989.62 = 231,815.40/x
  3. Step 3: Cross multiply
    413,130.12x = 569,989.62 × 231,815.40
  4. Step 4: Simplify right side
    413,130.12x = 132,132,371,756.15
  5. Step 5: Solve for x
    x = 132,132,371,756.15/413,130.12
  6. Step 6: Final answer
    x = 319,832.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.