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Finding the Fourth Proportional to 532,627.48, 798,031.86 and 292,942

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Solution

The fourth proportional to 532,627.48, 798,031.86 and 292,942 is: 438,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,627.48 : 798,031.86 = 292,942 : x
  2. Step 2: Convert to fraction form
    532,627.48/798,031.86 = 292,942/x
  3. Step 3: Cross multiply
    532,627.48x = 798,031.86 × 292,942
  4. Step 4: Simplify right side
    532,627.48x = 233,777,049,132.12
  5. Step 5: Solve for x
    x = 233,777,049,132.12/532,627.48
  6. Step 6: Final answer
    x = 438,912.86

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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.