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Finding the Fourth Proportional to 564,277.38, 845,970.72 and 279,771.77

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Solution

The fourth proportional to 564,277.38, 845,970.72 and 279,771.77 is: 419,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,277.38 : 845,970.72 = 279,771.77 : x
  2. Step 2: Convert to fraction form
    564,277.38/845,970.72 = 279,771.77/x
  3. Step 3: Cross multiply
    564,277.38x = 845,970.72 × 279,771.77
  4. Step 4: Simplify right side
    564,277.38x = 236,678,721,472.72
  5. Step 5: Solve for x
    x = 236,678,721,472.72/564,277.38
  6. Step 6: Final answer
    x = 419,436.84

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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.