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Finding the Fourth Proportional to 474,447.60, 711,671.40 and 453,970.80

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Solution

The fourth proportional to 474,447.60, 711,671.40 and 453,970.80 is: 680,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,447.60 : 711,671.40 = 453,970.80 : x
  2. Step 2: Convert to fraction form
    474,447.60/711,671.40 = 453,970.80/x
  3. Step 3: Cross multiply
    474,447.60x = 711,671.40 × 453,970.80
  4. Step 4: Simplify right side
    474,447.60x = 323,078,034,795.12
  5. Step 5: Solve for x
    x = 323,078,034,795.12/474,447.60
  6. Step 6: Final answer
    x = 680,956.20

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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.