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Finding the Fourth Proportional to 564,728.57, 846,913.23 and 185,562.01

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Solution

The fourth proportional to 564,728.57, 846,913.23 and 185,562.01 is: 278,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,728.57 : 846,913.23 = 185,562.01 : x
  2. Step 2: Convert to fraction form
    564,728.57/846,913.23 = 185,562.01/x
  3. Step 3: Cross multiply
    564,728.57x = 846,913.23 × 185,562.01
  4. Step 4: Simplify right side
    564,728.57x = 157,154,919,137.11
  5. Step 5: Solve for x
    x = 157,154,919,137.11/564,728.57
  6. Step 6: Final answer
    x = 278,283.99

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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.