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Finding the Fourth Proportional to 492,756.30, 737,752.05 and 478,932.30

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Solution

The fourth proportional to 492,756.30, 737,752.05 and 478,932.30 is: 717,054.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,756.30 : 737,752.05 = 478,932.30 : x
  2. Step 2: Convert to fraction form
    492,756.30/737,752.05 = 478,932.30/x
  3. Step 3: Cross multiply
    492,756.30x = 737,752.05 × 478,932.30
  4. Step 4: Simplify right side
    492,756.30x = 353,333,286,136.22
  5. Step 5: Solve for x
    x = 353,333,286,136.22/492,756.30
  6. Step 6: Final answer
    x = 717,054.83

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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.