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Finding the Fourth Proportional to 347,512.20, 521,462.70 and 147,798.60

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Solution

The fourth proportional to 347,512.20, 521,462.70 and 147,798.60 is: 221,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,512.20 : 521,462.70 = 147,798.60 : x
  2. Step 2: Convert to fraction form
    347,512.20/521,462.70 = 147,798.60/x
  3. Step 3: Cross multiply
    347,512.20x = 521,462.70 × 147,798.60
  4. Step 4: Simplify right side
    347,512.20x = 77,071,457,012.22
  5. Step 5: Solve for x
    x = 77,071,457,012.22/347,512.20
  6. Step 6: Final answer
    x = 221,780.58

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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.