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Finding the Fourth Proportional to 580,782.16, 870,988.92 and 186,706

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Solution

The fourth proportional to 580,782.16, 870,988.92 and 186,706 is: 279,999.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,782.16 : 870,988.92 = 186,706 : x
  2. Step 2: Convert to fraction form
    580,782.16/870,988.92 = 186,706/x
  3. Step 3: Cross multiply
    580,782.16x = 870,988.92 × 186,706
  4. Step 4: Simplify right side
    580,782.16x = 162,618,857,297.52
  5. Step 5: Solve for x
    x = 162,618,857,297.52/580,782.16
  6. Step 6: Final answer
    x = 279,999.75

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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.