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Finding the Fourth Proportional to 688,511.64, 950,127.11 and 382,580.11

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Solution

The fourth proportional to 688,511.64, 950,127.11 and 382,580.11 is: 527,950.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,511.64 : 950,127.11 = 382,580.11 : x
  2. Step 2: Convert to fraction form
    688,511.64/950,127.11 = 382,580.11/x
  3. Step 3: Cross multiply
    688,511.64x = 950,127.11 × 382,580.11
  4. Step 4: Simplify right side
    688,511.64x = 363,499,737,119.23
  5. Step 5: Solve for x
    x = 363,499,737,119.23/688,511.64
  6. Step 6: Final answer
    x = 527,950.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.