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Finding the Fourth Proportional to 564,271.92, 846,405.05 and 199,803.92

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Solution

The fourth proportional to 564,271.92, 846,405.05 and 199,803.92 is: 299,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,271.92 : 846,405.05 = 199,803.92 : x
  2. Step 2: Convert to fraction form
    564,271.92/846,405.05 = 199,803.92/x
  3. Step 3: Cross multiply
    564,271.92x = 846,405.05 × 199,803.92
  4. Step 4: Simplify right side
    564,271.92x = 169,115,041,666.75
  5. Step 5: Solve for x
    x = 169,115,041,666.75/564,271.92
  6. Step 6: Final answer
    x = 299,704.87

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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.