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Finding the Fourth Proportional to 564,671, 846,982.20 and 143,934.32

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Solution

The fourth proportional to 564,671, 846,982.20 and 143,934.32 is: 215,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,671 : 846,982.20 = 143,934.32 : x
  2. Step 2: Convert to fraction form
    564,671/846,982.20 = 143,934.32/x
  3. Step 3: Cross multiply
    564,671x = 846,982.20 × 143,934.32
  4. Step 4: Simplify right side
    564,671x = 121,909,807,009.10
  5. Step 5: Solve for x
    x = 121,909,807,009.10/564,671
  6. Step 6: Final answer
    x = 215,895.29

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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.