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Finding the Fourth Proportional to 382,588.60, 573,882.90 and 314,937.40

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Solution

The fourth proportional to 382,588.60, 573,882.90 and 314,937.40 is: 472,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,588.60 : 573,882.90 = 314,937.40 : x
  2. Step 2: Convert to fraction form
    382,588.60/573,882.90 = 314,937.40/x
  3. Step 3: Cross multiply
    382,588.60x = 573,882.90 × 314,937.40
  4. Step 4: Simplify right side
    382,588.60x = 180,737,188,430.46
  5. Step 5: Solve for x
    x = 180,737,188,430.46/382,588.60
  6. Step 6: Final answer
    x = 472,406.10

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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.