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Finding the Fourth Proportional to 580,780.16, 870,985.92 and 186,704

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Solution

The fourth proportional to 580,780.16, 870,985.92 and 186,704 is: 279,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,780.16 : 870,985.92 = 186,704 : x
  2. Step 2: Convert to fraction form
    580,780.16/870,985.92 = 186,704/x
  3. Step 3: Cross multiply
    580,780.16x = 870,985.92 × 186,704
  4. Step 4: Simplify right side
    580,780.16x = 162,616,555,207.68
  5. Step 5: Solve for x
    x = 162,616,555,207.68/580,780.16
  6. Step 6: Final answer
    x = 279,996.75

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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.