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Finding the Fourth Proportional to 537,700.20, 806,550.30 and 462,904.80

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Solution

The fourth proportional to 537,700.20, 806,550.30 and 462,904.80 is: 694,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,700.20 : 806,550.30 = 462,904.80 : x
  2. Step 2: Convert to fraction form
    537,700.20/806,550.30 = 462,904.80/x
  3. Step 3: Cross multiply
    537,700.20x = 806,550.30 × 462,904.80
  4. Step 4: Simplify right side
    537,700.20x = 373,356,005,311.44
  5. Step 5: Solve for x
    x = 373,356,005,311.44/537,700.20
  6. Step 6: Final answer
    x = 694,357.20

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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.