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Finding the Fourth Proportional to 564,678.99, 846,956.52 and 165,323.70

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Solution

The fourth proportional to 564,678.99, 846,956.52 and 165,323.70 is: 247,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,678.99 : 846,956.52 = 165,323.70 : x
  2. Step 2: Convert to fraction form
    564,678.99/846,956.52 = 165,323.70/x
  3. Step 3: Cross multiply
    564,678.99x = 846,956.52 × 165,323.70
  4. Step 4: Simplify right side
    564,678.99x = 140,021,985,625.52
  5. Step 5: Solve for x
    x = 140,021,985,625.52/564,678.99
  6. Step 6: Final answer
    x = 247,967.41

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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.