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Finding the Fourth Proportional to 409,853.79, 565,597.13 and 228,565.92

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Solution

The fourth proportional to 409,853.79, 565,597.13 and 228,565.92 is: 315,420.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,853.79 : 565,597.13 = 228,565.92 : x
  2. Step 2: Convert to fraction form
    409,853.79/565,597.13 = 228,565.92/x
  3. Step 3: Cross multiply
    409,853.79x = 565,597.13 × 228,565.92
  4. Step 4: Simplify right side
    409,853.79x = 129,276,228,367.81
  5. Step 5: Solve for x
    x = 129,276,228,367.81/409,853.79
  6. Step 6: Final answer
    x = 315,420.36

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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.