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Finding the Fourth Proportional to 409,853.65, 565,596.92 and 228,565.77

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Solution

The fourth proportional to 409,853.65, 565,596.92 and 228,565.77 is: 315,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,853.65 : 565,596.92 = 228,565.77 : x
  2. Step 2: Convert to fraction form
    409,853.65/565,596.92 = 228,565.77/x
  3. Step 3: Cross multiply
    409,853.65x = 565,596.92 × 228,565.77
  4. Step 4: Simplify right side
    409,853.65x = 129,276,094,386.60
  5. Step 5: Solve for x
    x = 129,276,094,386.60/409,853.65
  6. Step 6: Final answer
    x = 315,420.14

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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.