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Finding the Fourth Proportional to 588,494.66, 883,283.20 and 456,224.90

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Solution

The fourth proportional to 588,494.66, 883,283.20 and 456,224.90 is: 684,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,494.66 : 883,283.20 = 456,224.90 : x
  2. Step 2: Convert to fraction form
    588,494.66/883,283.20 = 456,224.90/x
  3. Step 3: Cross multiply
    588,494.66x = 883,283.20 × 456,224.90
  4. Step 4: Simplify right side
    588,494.66x = 402,975,789,591.68
  5. Step 5: Solve for x
    x = 402,975,789,591.68/588,494.66
  6. Step 6: Final answer
    x = 684,756.92

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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.