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Finding the Fourth Proportional to 390,475.20, 585,709.92 and 109,986.24

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Solution

The fourth proportional to 390,475.20, 585,709.92 and 109,986.24 is: 164,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,475.20 : 585,709.92 = 109,986.24 : x
  2. Step 2: Convert to fraction form
    390,475.20/585,709.92 = 109,986.24/x
  3. Step 3: Cross multiply
    390,475.20x = 585,709.92 × 109,986.24
  4. Step 4: Simplify right side
    390,475.20x = 64,420,031,831.50
  5. Step 5: Solve for x
    x = 64,420,031,831.50/390,475.20
  6. Step 6: Final answer
    x = 164,978.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.