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Finding the Fourth Proportional to 578,465.80, 869,772.30 and 487,227.40

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Solution

The fourth proportional to 578,465.80, 869,772.30 and 487,227.40 is: 732,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,465.80 : 869,772.30 = 487,227.40 : x
  2. Step 2: Convert to fraction form
    578,465.80/869,772.30 = 487,227.40/x
  3. Step 3: Cross multiply
    578,465.80x = 869,772.30 × 487,227.40
  4. Step 4: Simplify right side
    578,465.80x = 423,776,896,321.02
  5. Step 5: Solve for x
    x = 423,776,896,321.02/578,465.80
  6. Step 6: Final answer
    x = 732,587.64

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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.