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Finding the Fourth Proportional to 457,211.52, 685,566.72 and 141,580.80

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Solution

The fourth proportional to 457,211.52, 685,566.72 and 141,580.80 is: 212,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,211.52 : 685,566.72 = 141,580.80 : x
  2. Step 2: Convert to fraction form
    457,211.52/685,566.72 = 141,580.80/x
  3. Step 3: Cross multiply
    457,211.52x = 685,566.72 × 141,580.80
  4. Step 4: Simplify right side
    457,211.52x = 97,063,084,670.98
  5. Step 5: Solve for x
    x = 97,063,084,670.98/457,211.52
  6. Step 6: Final answer
    x = 212,293.61

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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.