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Finding the Fourth Proportional to 586,422.30, 822,650.10 and 586,422.30

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Solution

The fourth proportional to 586,422.30, 822,650.10 and 586,422.30 is: 822,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,422.30 : 822,650.10 = 586,422.30 : x
  2. Step 2: Convert to fraction form
    586,422.30/822,650.10 = 586,422.30/x
  3. Step 3: Cross multiply
    586,422.30x = 822,650.10 × 586,422.30
  4. Step 4: Simplify right side
    586,422.30x = 482,420,363,737.23
  5. Step 5: Solve for x
    x = 482,420,363,737.23/586,422.30
  6. Step 6: Final answer
    x = 822,650.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.