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Finding the Fourth Proportional to 409,152.86, 564,590.41 and 227,881.62

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Solution

The fourth proportional to 409,152.86, 564,590.41 and 227,881.62 is: 314,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,152.86 : 564,590.41 = 227,881.62 : x
  2. Step 2: Convert to fraction form
    409,152.86/564,590.41 = 227,881.62/x
  3. Step 3: Cross multiply
    409,152.86x = 564,590.41 × 227,881.62
  4. Step 4: Simplify right side
    409,152.86x = 128,659,779,669.33
  5. Step 5: Solve for x
    x = 128,659,779,669.33/409,152.86
  6. Step 6: Final answer
    x = 314,454.07

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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.