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Finding the Fourth Proportional to 532,222.86, 798,461.87 and 177,239.96

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Solution

The fourth proportional to 532,222.86, 798,461.87 and 177,239.96 is: 265,902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,222.86 : 798,461.87 = 177,239.96 : x
  2. Step 2: Convert to fraction form
    532,222.86/798,461.87 = 177,239.96/x
  3. Step 3: Cross multiply
    532,222.86x = 798,461.87 × 177,239.96
  4. Step 4: Simplify right side
    532,222.86x = 141,519,347,904.17
  5. Step 5: Solve for x
    x = 141,519,347,904.17/532,222.86
  6. Step 6: Final answer
    x = 265,902.42

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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.