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Finding the Fourth Proportional to 288,760.06, 398,477.40 and 159,690.16

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Solution

The fourth proportional to 288,760.06, 398,477.40 and 159,690.16 is: 220,366.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,760.06 : 398,477.40 = 159,690.16 : x
  2. Step 2: Convert to fraction form
    288,760.06/398,477.40 = 159,690.16/x
  3. Step 3: Cross multiply
    288,760.06x = 398,477.40 × 159,690.16
  4. Step 4: Simplify right side
    288,760.06x = 63,632,919,762.38
  5. Step 5: Solve for x
    x = 63,632,919,762.38/288,760.06
  6. Step 6: Final answer
    x = 220,366.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.