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Finding the Fourth Proportional to 807,511.70, 1,209,773.10 and 470,713.70

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Solution

The fourth proportional to 807,511.70, 1,209,773.10 and 470,713.70 is: 705,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,511.70 : 1,209,773.10 = 470,713.70 : x
  2. Step 2: Convert to fraction form
    807,511.70/1,209,773.10 = 470,713.70/x
  3. Step 3: Cross multiply
    807,511.70x = 1,209,773.10 × 470,713.70
  4. Step 4: Simplify right side
    807,511.70x = 569,456,772,061.47
  5. Step 5: Solve for x
    x = 569,456,772,061.47/807,511.70
  6. Step 6: Final answer
    x = 705,199.41

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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.