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Finding the Fourth Proportional to 574,464.77, 861,821.01 and 286,433.46

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Solution

The fourth proportional to 574,464.77, 861,821.01 and 286,433.46 is: 429,711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,464.77 : 861,821.01 = 286,433.46 : x
  2. Step 2: Convert to fraction form
    574,464.77/861,821.01 = 286,433.46/x
  3. Step 3: Cross multiply
    574,464.77x = 861,821.01 × 286,433.46
  4. Step 4: Simplify right side
    574,464.77x = 246,854,373,795.00
  5. Step 5: Solve for x
    x = 246,854,373,795.00/574,464.77
  6. Step 6: Final answer
    x = 429,711.95

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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.