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Finding the Fourth Proportional to 580,784.16, 870,991.92 and 186,708

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Solution

The fourth proportional to 580,784.16, 870,991.92 and 186,708 is: 280,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,784.16 : 870,991.92 = 186,708 : x
  2. Step 2: Convert to fraction form
    580,784.16/870,991.92 = 186,708/x
  3. Step 3: Cross multiply
    580,784.16x = 870,991.92 × 186,708
  4. Step 4: Simplify right side
    580,784.16x = 162,621,159,399.36
  5. Step 5: Solve for x
    x = 162,621,159,399.36/580,784.16
  6. Step 6: Final answer
    x = 280,002.75

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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.