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Finding the Fourth Proportional to 474,448.10, 711,672.15 and 453,971.30

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Solution

The fourth proportional to 474,448.10, 711,672.15 and 453,971.30 is: 680,956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,448.10 : 711,672.15 = 453,971.30 : x
  2. Step 2: Convert to fraction form
    474,448.10/711,672.15 = 453,971.30/x
  3. Step 3: Cross multiply
    474,448.10x = 711,672.15 × 453,971.30
  4. Step 4: Simplify right side
    474,448.10x = 323,078,731,109.30
  5. Step 5: Solve for x
    x = 323,078,731,109.30/474,448.10
  6. Step 6: Final answer
    x = 680,956.95

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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.