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Finding the Fourth Proportional to 402,595.50, 555,581.79 and 232,840.56

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Solution

The fourth proportional to 402,595.50, 555,581.79 and 232,840.56 is: 321,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,595.50 : 555,581.79 = 232,840.56 : x
  2. Step 2: Convert to fraction form
    402,595.50/555,581.79 = 232,840.56/x
  3. Step 3: Cross multiply
    402,595.50x = 555,581.79 × 232,840.56
  4. Step 4: Simplify right side
    402,595.50x = 129,361,975,109.40
  5. Step 5: Solve for x
    x = 129,361,975,109.40/402,595.50
  6. Step 6: Final answer
    x = 321,319.97

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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.