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Finding the Fourth Proportional to 653,167.12, 980,052 and 298,289.92

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Solution

The fourth proportional to 653,167.12, 980,052 and 298,289.92 is: 447,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,167.12 : 980,052 = 298,289.92 : x
  2. Step 2: Convert to fraction form
    653,167.12/980,052 = 298,289.92/x
  3. Step 3: Cross multiply
    653,167.12x = 980,052 × 298,289.92
  4. Step 4: Simplify right side
    653,167.12x = 292,339,632,675.84
  5. Step 5: Solve for x
    x = 292,339,632,675.84/653,167.12
  6. Step 6: Final answer
    x = 447,572.49

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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.