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Finding the Fourth Proportional to 564,368.68, 846,578.94 and 143,648.20

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Solution

The fourth proportional to 564,368.68, 846,578.94 and 143,648.20 is: 215,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,368.68 : 846,578.94 = 143,648.20 : x
  2. Step 2: Convert to fraction form
    564,368.68/846,578.94 = 143,648.20/x
  3. Step 3: Cross multiply
    564,368.68x = 846,578.94 × 143,648.20
  4. Step 4: Simplify right side
    564,368.68x = 121,609,540,888.91
  5. Step 5: Solve for x
    x = 121,609,540,888.91/564,368.68
  6. Step 6: Final answer
    x = 215,478.90

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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.