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Finding the Fourth Proportional to 576,065.10, 864,097.65 and 520,077.90

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Solution

The fourth proportional to 576,065.10, 864,097.65 and 520,077.90 is: 780,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,065.10 : 864,097.65 = 520,077.90 : x
  2. Step 2: Convert to fraction form
    576,065.10/864,097.65 = 520,077.90/x
  3. Step 3: Cross multiply
    576,065.10x = 864,097.65 × 520,077.90
  4. Step 4: Simplify right side
    576,065.10x = 449,398,091,206.94
  5. Step 5: Solve for x
    x = 449,398,091,206.94/576,065.10
  6. Step 6: Final answer
    x = 780,116.85

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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.