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Finding the Fourth Proportional to 666,114.84, 999,319.68 and 310,934.88

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Solution

The fourth proportional to 666,114.84, 999,319.68 and 310,934.88 is: 466,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,114.84 : 999,319.68 = 310,934.88 : x
  2. Step 2: Convert to fraction form
    666,114.84/999,319.68 = 310,934.88/x
  3. Step 3: Cross multiply
    666,114.84x = 999,319.68 × 310,934.88
  4. Step 4: Simplify right side
    666,114.84x = 310,723,344,782.44
  5. Step 5: Solve for x
    x = 310,723,344,782.44/666,114.84
  6. Step 6: Final answer
    x = 466,471.13

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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.