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Finding the Fourth Proportional to 474,412.16, 711,515.46 and 150,225.86

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Solution

The fourth proportional to 474,412.16, 711,515.46 and 150,225.86 is: 225,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,412.16 : 711,515.46 = 150,225.86 : x
  2. Step 2: Convert to fraction form
    474,412.16/711,515.46 = 150,225.86/x
  3. Step 3: Cross multiply
    474,412.16x = 711,515.46 × 150,225.86
  4. Step 4: Simplify right side
    474,412.16x = 106,888,021,881.80
  5. Step 5: Solve for x
    x = 106,888,021,881.80/474,412.16
  6. Step 6: Final answer
    x = 225,306.24

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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.