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Finding the Fourth Proportional to 564,357.68, 846,562.44 and 143,637.20

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Solution

The fourth proportional to 564,357.68, 846,562.44 and 143,637.20 is: 215,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,357.68 : 846,562.44 = 143,637.20 : x
  2. Step 2: Convert to fraction form
    564,357.68/846,562.44 = 143,637.20/x
  3. Step 3: Cross multiply
    564,357.68x = 846,562.44 × 143,637.20
  4. Step 4: Simplify right side
    564,357.68x = 121,597,858,506.77
  5. Step 5: Solve for x
    x = 121,597,858,506.77/564,357.68
  6. Step 6: Final answer
    x = 215,462.40

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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.