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Finding the Fourth Proportional to 488,710.40, 732,846.90 and 189,091.40

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Solution

The fourth proportional to 488,710.40, 732,846.90 and 189,091.40 is: 283,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,710.40 : 732,846.90 = 189,091.40 : x
  2. Step 2: Convert to fraction form
    488,710.40/732,846.90 = 189,091.40/x
  3. Step 3: Cross multiply
    488,710.40x = 732,846.90 × 189,091.40
  4. Step 4: Simplify right side
    488,710.40x = 138,575,046,306.66
  5. Step 5: Solve for x
    x = 138,575,046,306.66/488,710.40
  6. Step 6: Final answer
    x = 283,552.48

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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.