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Finding the Fourth Proportional to 472,411.95, 708,653.46 and 135,449.92

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Solution

The fourth proportional to 472,411.95, 708,653.46 and 135,449.92 is: 203,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,411.95 : 708,653.46 = 135,449.92 : x
  2. Step 2: Convert to fraction form
    472,411.95/708,653.46 = 135,449.92/x
  3. Step 3: Cross multiply
    472,411.95x = 708,653.46 × 135,449.92
  4. Step 4: Simplify right side
    472,411.95x = 95,987,054,464.72
  5. Step 5: Solve for x
    x = 95,987,054,464.72/472,411.95
  6. Step 6: Final answer
    x = 203,185.07

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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.