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Finding the Fourth Proportional to 453,848.64, 680,772.96 and 121,416

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Solution

The fourth proportional to 453,848.64, 680,772.96 and 121,416 is: 182,124

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,848.64 : 680,772.96 = 121,416 : x
  2. Step 2: Convert to fraction form
    453,848.64/680,772.96 = 121,416/x
  3. Step 3: Cross multiply
    453,848.64x = 680,772.96 × 121,416
  4. Step 4: Simplify right side
    453,848.64x = 82,656,729,711.36
  5. Step 5: Solve for x
    x = 82,656,729,711.36/453,848.64
  6. Step 6: Final answer
    x = 182,124

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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.