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Finding the Fourth Proportional to 410,744.32, 614,617.77 and 242,345.32

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Solution

The fourth proportional to 410,744.32, 614,617.77 and 242,345.32 is: 362,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,744.32 : 614,617.77 = 242,345.32 : x
  2. Step 2: Convert to fraction form
    410,744.32/614,617.77 = 242,345.32/x
  3. Step 3: Cross multiply
    410,744.32x = 614,617.77 × 242,345.32
  4. Step 4: Simplify right side
    410,744.32x = 148,949,739,520.59
  5. Step 5: Solve for x
    x = 148,949,739,520.59/410,744.32
  6. Step 6: Final answer
    x = 362,633.72

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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.