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Finding the Fourth Proportional to 470,711.20, 706,066.80 and 150,862.45

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Solution

The fourth proportional to 470,711.20, 706,066.80 and 150,862.45 is: 226,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,711.20 : 706,066.80 = 150,862.45 : x
  2. Step 2: Convert to fraction form
    470,711.20/706,066.80 = 150,862.45/x
  3. Step 3: Cross multiply
    470,711.20x = 706,066.80 × 150,862.45
  4. Step 4: Simplify right side
    470,711.20x = 106,518,967,311.66
  5. Step 5: Solve for x
    x = 106,518,967,311.66/470,711.20
  6. Step 6: Final answer
    x = 226,293.68

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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.