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Finding the Fourth Proportional to 349,714.90, 524,831.55 and 231,346.90

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Solution

The fourth proportional to 349,714.90, 524,831.55 and 231,346.90 is: 347,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,714.90 : 524,831.55 = 231,346.90 : x
  2. Step 2: Convert to fraction form
    349,714.90/524,831.55 = 231,346.90/x
  3. Step 3: Cross multiply
    349,714.90x = 524,831.55 × 231,346.90
  4. Step 4: Simplify right side
    349,714.90x = 121,418,152,114.70
  5. Step 5: Solve for x
    x = 121,418,152,114.70/349,714.90
  6. Step 6: Final answer
    x = 347,191.82

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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.