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Finding the Fourth Proportional to 457,802.20, 687,264.90 and 289,322.20

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Solution

The fourth proportional to 457,802.20, 687,264.90 and 289,322.20 is: 434,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,802.20 : 687,264.90 = 289,322.20 : x
  2. Step 2: Convert to fraction form
    457,802.20/687,264.90 = 289,322.20/x
  3. Step 3: Cross multiply
    457,802.20x = 687,264.90 × 289,322.20
  4. Step 4: Simplify right side
    457,802.20x = 198,840,992,850.78
  5. Step 5: Solve for x
    x = 198,840,992,850.78/457,802.20
  6. Step 6: Final answer
    x = 434,338.22

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1.5x scale

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.