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Finding the Fourth Proportional to 402,541.96, 604,085.10 and 153,217.48

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Solution

The fourth proportional to 402,541.96, 604,085.10 and 153,217.48 is: 229,929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,541.96 : 604,085.10 = 153,217.48 : x
  2. Step 2: Convert to fraction form
    402,541.96/604,085.10 = 153,217.48/x
  3. Step 3: Cross multiply
    402,541.96x = 604,085.10 × 153,217.48
  4. Step 4: Simplify right side
    402,541.96x = 92,556,396,727.55
  5. Step 5: Solve for x
    x = 92,556,396,727.55/402,541.96
  6. Step 6: Final answer
    x = 229,929.81

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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.