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Finding the Fourth Proportional to 475,909.18, 714,050.69 and 209,482.90

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Solution

The fourth proportional to 475,909.18, 714,050.69 and 209,482.90 is: 314,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,909.18 : 714,050.69 = 209,482.90 : x
  2. Step 2: Convert to fraction form
    475,909.18/714,050.69 = 209,482.90/x
  3. Step 3: Cross multiply
    475,909.18x = 714,050.69 × 209,482.90
  4. Step 4: Simplify right side
    475,909.18x = 149,581,406,455.66
  5. Step 5: Solve for x
    x = 149,581,406,455.66/475,909.18
  6. Step 6: Final answer
    x = 314,306.62

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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.