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Finding the Fourth Proportional to 475,908.92, 714,050.30 and 209,482.66

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Solution

The fourth proportional to 475,908.92, 714,050.30 and 209,482.66 is: 314,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,908.92 : 714,050.30 = 209,482.66 : x
  2. Step 2: Convert to fraction form
    475,908.92/714,050.30 = 209,482.66/x
  3. Step 3: Cross multiply
    475,908.92x = 714,050.30 × 209,482.66
  4. Step 4: Simplify right side
    475,908.92x = 149,581,156,217.80
  5. Step 5: Solve for x
    x = 149,581,156,217.80/475,908.92
  6. Step 6: Final answer
    x = 314,306.27

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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.