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Finding the Fourth Proportional to 658,643.12, 986,096.40 and 431,203.62

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Solution

The fourth proportional to 658,643.12, 986,096.40 and 431,203.62 is: 645,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,643.12 : 986,096.40 = 431,203.62 : x
  2. Step 2: Convert to fraction form
    658,643.12/986,096.40 = 431,203.62/x
  3. Step 3: Cross multiply
    658,643.12x = 986,096.40 × 431,203.62
  4. Step 4: Simplify right side
    658,643.12x = 425,208,337,348.97
  5. Step 5: Solve for x
    x = 425,208,337,348.97/658,643.12
  6. Step 6: Final answer
    x = 645,582.30

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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.