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Finding the Fourth Proportional to 472,322.32, 708,353.76 and 282,633.28

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Solution

The fourth proportional to 472,322.32, 708,353.76 and 282,633.28 is: 423,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,322.32 : 708,353.76 = 282,633.28 : x
  2. Step 2: Convert to fraction form
    472,322.32/708,353.76 = 282,633.28/x
  3. Step 3: Cross multiply
    472,322.32x = 708,353.76 × 282,633.28
  4. Step 4: Simplify right side
    472,322.32x = 200,204,346,589.13
  5. Step 5: Solve for x
    x = 200,204,346,589.13/472,322.32
  6. Step 6: Final answer
    x = 423,872.30

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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.