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Finding the Fourth Proportional to 472,621.68, 708,928.88 and 117,633.32

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Solution

The fourth proportional to 472,621.68, 708,928.88 and 117,633.32 is: 176,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,621.68 : 708,928.88 = 117,633.32 : x
  2. Step 2: Convert to fraction form
    472,621.68/708,928.88 = 117,633.32/x
  3. Step 3: Cross multiply
    472,621.68x = 708,928.88 × 117,633.32
  4. Step 4: Simplify right side
    472,621.68x = 83,393,653,665.47
  5. Step 5: Solve for x
    x = 83,393,653,665.47/472,621.68
  6. Step 6: Final answer
    x = 176,449.07

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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.