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Finding the Fourth Proportional to 653,250.80, 980,167.80 and 232,828.40

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Solution

The fourth proportional to 653,250.80, 980,167.80 and 232,828.40 is: 349,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,250.80 : 980,167.80 = 232,828.40 : x
  2. Step 2: Convert to fraction form
    653,250.80/980,167.80 = 232,828.40/x
  3. Step 3: Cross multiply
    653,250.80x = 980,167.80 × 232,828.40
  4. Step 4: Simplify right side
    653,250.80x = 228,210,900,605.52
  5. Step 5: Solve for x
    x = 228,210,900,605.52/653,250.80
  6. Step 6: Final answer
    x = 349,346.53

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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.