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Finding the Fourth Proportional to 551,407.79, 826,523.61 and 314,239.79

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Solution

The fourth proportional to 551,407.79, 826,523.61 and 314,239.79 is: 471,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,407.79 : 826,523.61 = 314,239.79 : x
  2. Step 2: Convert to fraction form
    551,407.79/826,523.61 = 314,239.79/x
  3. Step 3: Cross multiply
    551,407.79x = 826,523.61 × 314,239.79
  4. Step 4: Simplify right side
    551,407.79x = 259,726,601,503.82
  5. Step 5: Solve for x
    x = 259,726,601,503.82/551,407.79
  6. Step 6: Final answer
    x = 471,024.55

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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.