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Finding the Fourth Proportional to 649,534.30, 896,321.13 and 359,129.02

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Solution

The fourth proportional to 649,534.30, 896,321.13 and 359,129.02 is: 495,578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,534.30 : 896,321.13 = 359,129.02 : x
  2. Step 2: Convert to fraction form
    649,534.30/896,321.13 = 359,129.02/x
  3. Step 3: Cross multiply
    649,534.30x = 896,321.13 × 359,129.02
  4. Step 4: Simplify right side
    649,534.30x = 321,894,929,022.19
  5. Step 5: Solve for x
    x = 321,894,929,022.19/649,534.30
  6. Step 6: Final answer
    x = 495,578.03

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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.