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Finding the Fourth Proportional to 564,669, 846,979.20 and 143,932.32

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Solution

The fourth proportional to 564,669, 846,979.20 and 143,932.32 is: 215,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,669 : 846,979.20 = 143,932.32 : x
  2. Step 2: Convert to fraction form
    564,669/846,979.20 = 143,932.32/x
  3. Step 3: Cross multiply
    564,669x = 846,979.20 × 143,932.32
  4. Step 4: Simplify right side
    564,669x = 121,907,681,247.74
  5. Step 5: Solve for x
    x = 121,907,681,247.74/564,669
  6. Step 6: Final answer
    x = 215,892.29

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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.