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Finding the Fourth Proportional to 409,335.43, 564,900.33 and 228,047.26

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Solution

The fourth proportional to 409,335.43, 564,900.33 and 228,047.26 is: 314,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,335.43 : 564,900.33 = 228,047.26 : x
  2. Step 2: Convert to fraction form
    409,335.43/564,900.33 = 228,047.26/x
  3. Step 3: Cross multiply
    409,335.43x = 564,900.33 × 228,047.26
  4. Step 4: Simplify right side
    409,335.43x = 128,823,972,429.60
  5. Step 5: Solve for x
    x = 128,823,972,429.60/409,335.43
  6. Step 6: Final answer
    x = 314,714.93

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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.