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Finding the Fourth Proportional to 586,428.70, 879,643.05 and 514,111.90

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Solution

The fourth proportional to 586,428.70, 879,643.05 and 514,111.90 is: 771,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,428.70 : 879,643.05 = 514,111.90 : x
  2. Step 2: Convert to fraction form
    586,428.70/879,643.05 = 514,111.90/x
  3. Step 3: Cross multiply
    586,428.70x = 879,643.05 × 514,111.90
  4. Step 4: Simplify right side
    586,428.70x = 452,234,959,757.30
  5. Step 5: Solve for x
    x = 452,234,959,757.30/586,428.70
  6. Step 6: Final answer
    x = 771,167.85

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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.