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Finding the Fourth Proportional to 564,274.27, 845,966.04 and 279,768.66

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Solution

The fourth proportional to 564,274.27, 845,966.04 and 279,768.66 is: 419,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,274.27 : 845,966.04 = 279,768.66 : x
  2. Step 2: Convert to fraction form
    564,274.27/845,966.04 = 279,768.66/x
  3. Step 3: Cross multiply
    564,274.27x = 845,966.04 × 279,768.66
  4. Step 4: Simplify right side
    564,274.27x = 236,674,785,416.31
  5. Step 5: Solve for x
    x = 236,674,785,416.31/564,274.27
  6. Step 6: Final answer
    x = 419,432.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.