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Finding the Fourth Proportional to 409,314.66, 564,871.19 and 228,026.49

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Solution

The fourth proportional to 409,314.66, 564,871.19 and 228,026.49 is: 314,686.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,314.66 : 564,871.19 = 228,026.49 : x
  2. Step 2: Convert to fraction form
    409,314.66/564,871.19 = 228,026.49/x
  3. Step 3: Cross multiply
    409,314.66x = 564,871.19 × 228,026.49
  4. Step 4: Simplify right side
    409,314.66x = 128,805,594,757.82
  5. Step 5: Solve for x
    x = 128,805,594,757.82/409,314.66
  6. Step 6: Final answer
    x = 314,686.00

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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.