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Finding the Fourth Proportional to 473,607.58, 653,793.53 and 301,761.15

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Solution

The fourth proportional to 473,607.58, 653,793.53 and 301,761.15 is: 416,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,607.58 : 653,793.53 = 301,761.15 : x
  2. Step 2: Convert to fraction form
    473,607.58/653,793.53 = 301,761.15/x
  3. Step 3: Cross multiply
    473,607.58x = 653,793.53 × 301,761.15
  4. Step 4: Simplify right side
    473,607.58x = 197,289,486,060.86
  5. Step 5: Solve for x
    x = 197,289,486,060.86/473,607.58
  6. Step 6: Final answer
    x = 416,567.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.