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Finding the Fourth Proportional to 564,281.74, 846,435.60 and 137,821.11

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Solution

The fourth proportional to 564,281.74, 846,435.60 and 137,821.11 is: 206,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,281.74 : 846,435.60 = 137,821.11 : x
  2. Step 2: Convert to fraction form
    564,281.74/846,435.60 = 137,821.11/x
  3. Step 3: Cross multiply
    564,281.74x = 846,435.60 × 137,821.11
  4. Step 4: Simplify right side
    564,281.74x = 116,656,693,935.52
  5. Step 5: Solve for x
    x = 116,656,693,935.52/564,281.74
  6. Step 6: Final answer
    x = 206,734.84

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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.