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Finding the Fourth Proportional to 287,830.86, 431,841.90 and 127,884.54

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Solution

The fourth proportional to 287,830.86, 431,841.90 and 127,884.54 is: 191,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,830.86 : 431,841.90 = 127,884.54 : x
  2. Step 2: Convert to fraction form
    287,830.86/431,841.90 = 127,884.54/x
  3. Step 3: Cross multiply
    287,830.86x = 431,841.90 × 127,884.54
  4. Step 4: Simplify right side
    287,830.86x = 55,225,902,734.23
  5. Step 5: Solve for x
    x = 55,225,902,734.23/287,830.86
  6. Step 6: Final answer
    x = 191,869.29

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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.