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Finding the Fourth Proportional to 409,794.90, 614,341.68 and 157,256.61

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Solution

The fourth proportional to 409,794.90, 614,341.68 and 157,256.61 is: 235,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,794.90 : 614,341.68 = 157,256.61 : x
  2. Step 2: Convert to fraction form
    409,794.90/614,341.68 = 157,256.61/x
  3. Step 3: Cross multiply
    409,794.90x = 614,341.68 × 157,256.61
  4. Step 4: Simplify right side
    409,794.90x = 96,609,289,978.50
  5. Step 5: Solve for x
    x = 96,609,289,978.50/409,794.90
  6. Step 6: Final answer
    x = 235,750.35

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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.