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Finding the Fourth Proportional to 475,416.64, 711,517.56 and 462,622.78

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Solution

The fourth proportional to 475,416.64, 711,517.56 and 462,622.78 is: 692,370.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,416.64 : 711,517.56 = 462,622.78 : x
  2. Step 2: Convert to fraction form
    475,416.64/711,517.56 = 462,622.78/x
  3. Step 3: Cross multiply
    475,416.64x = 711,517.56 × 462,622.78
  4. Step 4: Simplify right side
    475,416.64x = 329,164,231,626.02
  5. Step 5: Solve for x
    x = 329,164,231,626.02/475,416.64
  6. Step 6: Final answer
    x = 692,370.03

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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.