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Finding the Fourth Proportional to 653,251.80, 980,169.30 and 232,829.40

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Solution

The fourth proportional to 653,251.80, 980,169.30 and 232,829.40 is: 349,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,251.80 : 980,169.30 = 232,829.40 : x
  2. Step 2: Convert to fraction form
    653,251.80/980,169.30 = 232,829.40/x
  3. Step 3: Cross multiply
    653,251.80x = 980,169.30 × 232,829.40
  4. Step 4: Simplify right side
    653,251.80x = 228,212,230,017.42
  5. Step 5: Solve for x
    x = 228,212,230,017.42/653,251.80
  6. Step 6: Final answer
    x = 349,348.03

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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.