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Finding the Fourth Proportional to 564,281.30, 846,434.94 and 137,820.67

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Solution

The fourth proportional to 564,281.30, 846,434.94 and 137,820.67 is: 206,734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,281.30 : 846,434.94 = 137,820.67 : x
  2. Step 2: Convert to fraction form
    564,281.30/846,434.94 = 137,820.67/x
  3. Step 3: Cross multiply
    564,281.30x = 846,434.94 × 137,820.67
  4. Step 4: Simplify right side
    564,281.30x = 116,656,228,684.54
  5. Step 5: Solve for x
    x = 116,656,228,684.54/564,281.30
  6. Step 6: Final answer
    x = 206,734.17

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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.