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Finding the Fourth Proportional to 347,452.58, 521,047.64 and 147,866.96

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Solution

The fourth proportional to 347,452.58, 521,047.64 and 147,866.96 is: 221,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,452.58 : 521,047.64 = 147,866.96 : x
  2. Step 2: Convert to fraction form
    347,452.58/521,047.64 = 147,866.96/x
  3. Step 3: Cross multiply
    347,452.58x = 521,047.64 × 147,866.96
  4. Step 4: Simplify right side
    347,452.58x = 77,045,730,541.97
  5. Step 5: Solve for x
    x = 77,045,730,541.97/347,452.58
  6. Step 6: Final answer
    x = 221,744.59

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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.