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Finding the Fourth Proportional to 409,632.44, 565,295.16 and 228,355.88

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Solution

The fourth proportional to 409,632.44, 565,295.16 and 228,355.88 is: 315,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,632.44 : 565,295.16 = 228,355.88 : x
  2. Step 2: Convert to fraction form
    409,632.44/565,295.16 = 228,355.88/x
  3. Step 3: Cross multiply
    409,632.44x = 565,295.16 × 228,355.88
  4. Step 4: Simplify right side
    409,632.44x = 129,088,473,721.54
  5. Step 5: Solve for x
    x = 129,088,473,721.54/409,632.44
  6. Step 6: Final answer
    x = 315,132.45

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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.