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Finding the Fourth Proportional to 564,275.27, 845,967.54 and 279,769.66

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Solution

The fourth proportional to 564,275.27, 845,967.54 and 279,769.66 is: 419,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,275.27 : 845,967.54 = 279,769.66 : x
  2. Step 2: Convert to fraction form
    564,275.27/845,967.54 = 279,769.66/x
  3. Step 3: Cross multiply
    564,275.27x = 845,967.54 × 279,769.66
  4. Step 4: Simplify right side
    564,275.27x = 236,676,051,036.84
  5. Step 5: Solve for x
    x = 236,676,051,036.84/564,275.27
  6. Step 6: Final answer
    x = 419,433.68

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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.