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Finding the Fourth Proportional to 397,565.40, 596,348.10 and 322,915.80

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Solution

The fourth proportional to 397,565.40, 596,348.10 and 322,915.80 is: 484,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,565.40 : 596,348.10 = 322,915.80 : x
  2. Step 2: Convert to fraction form
    397,565.40/596,348.10 = 322,915.80/x
  3. Step 3: Cross multiply
    397,565.40x = 596,348.10 × 322,915.80
  4. Step 4: Simplify right side
    397,565.40x = 192,570,223,789.98
  5. Step 5: Solve for x
    x = 192,570,223,789.98/397,565.40
  6. Step 6: Final answer
    x = 484,373.70

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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.