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Finding the Fourth Proportional to 474,708.64, 712,061.16 and 194,225.80

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Solution

The fourth proportional to 474,708.64, 712,061.16 and 194,225.80 is: 291,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,708.64 : 712,061.16 = 194,225.80 : x
  2. Step 2: Convert to fraction form
    474,708.64/712,061.16 = 194,225.80/x
  3. Step 3: Cross multiply
    474,708.64x = 712,061.16 × 194,225.80
  4. Step 4: Simplify right side
    474,708.64x = 138,300,648,449.93
  5. Step 5: Solve for x
    x = 138,300,648,449.93/474,708.64
  6. Step 6: Final answer
    x = 291,337.96

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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.