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Finding the Fourth Proportional to 687,952.38, 949,356.15 and 382,019.34

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Solution

The fourth proportional to 687,952.38, 949,356.15 and 382,019.34 is: 527,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,952.38 : 949,356.15 = 382,019.34 : x
  2. Step 2: Convert to fraction form
    687,952.38/949,356.15 = 382,019.34/x
  3. Step 3: Cross multiply
    687,952.38x = 949,356.15 × 382,019.34
  4. Step 4: Simplify right side
    687,952.38x = 362,672,409,847.94
  5. Step 5: Solve for x
    x = 362,672,409,847.94/687,952.38
  6. Step 6: Final answer
    x = 527,176.62

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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.