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Finding the Fourth Proportional to 470,737.20, 706,105.80 and 411,688.20

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Solution

The fourth proportional to 470,737.20, 706,105.80 and 411,688.20 is: 617,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,737.20 : 706,105.80 = 411,688.20 : x
  2. Step 2: Convert to fraction form
    470,737.20/706,105.80 = 411,688.20/x
  3. Step 3: Cross multiply
    470,737.20x = 706,105.80 × 411,688.20
  4. Step 4: Simplify right side
    470,737.20x = 290,695,425,811.56
  5. Step 5: Solve for x
    x = 290,695,425,811.56/470,737.20
  6. Step 6: Final answer
    x = 617,532.30

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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.