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Finding the Fourth Proportional to 807,509.70, 1,209,770.10 and 470,711.70

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Solution

The fourth proportional to 807,509.70, 1,209,770.10 and 470,711.70 is: 705,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,509.70 : 1,209,770.10 = 470,711.70 : x
  2. Step 2: Convert to fraction form
    807,509.70/1,209,770.10 = 470,711.70/x
  3. Step 3: Cross multiply
    807,509.70x = 1,209,770.10 × 470,711.70
  4. Step 4: Simplify right side
    807,509.70x = 569,452,940,380.17
  5. Step 5: Solve for x
    x = 569,452,940,380.17/807,509.70
  6. Step 6: Final answer
    x = 705,196.41

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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.