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Finding the Fourth Proportional to 433,248.32, 649,868.16 and 328,708.64

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Solution

The fourth proportional to 433,248.32, 649,868.16 and 328,708.64 is: 493,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,248.32 : 649,868.16 = 328,708.64 : x
  2. Step 2: Convert to fraction form
    433,248.32/649,868.16 = 328,708.64/x
  3. Step 3: Cross multiply
    433,248.32x = 649,868.16 × 328,708.64
  4. Step 4: Simplify right side
    433,248.32x = 213,617,279,052.90
  5. Step 5: Solve for x
    x = 213,617,279,052.90/433,248.32
  6. Step 6: Final answer
    x = 493,059.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.