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Finding the Fourth Proportional to 430,304.20, 645,449 and 149,814.16

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Solution

The fourth proportional to 430,304.20, 645,449 and 149,814.16 is: 224,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,304.20 : 645,449 = 149,814.16 : x
  2. Step 2: Convert to fraction form
    430,304.20/645,449 = 149,814.16/x
  3. Step 3: Cross multiply
    430,304.20x = 645,449 × 149,814.16
  4. Step 4: Simplify right side
    430,304.20x = 96,697,399,757.84
  5. Step 5: Solve for x
    x = 96,697,399,757.84/430,304.20
  6. Step 6: Final answer
    x = 224,718.70

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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.