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Finding the Fourth Proportional to 472,636.80, 708,949.44 and 117,653.76

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Solution

The fourth proportional to 472,636.80, 708,949.44 and 117,653.76 is: 176,479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,636.80 : 708,949.44 = 117,653.76 : x
  2. Step 2: Convert to fraction form
    472,636.80/708,949.44 = 117,653.76/x
  3. Step 3: Cross multiply
    472,636.80x = 708,949.44 × 117,653.76
  4. Step 4: Simplify right side
    472,636.80x = 83,410,567,265.89
  5. Step 5: Solve for x
    x = 83,410,567,265.89/472,636.80
  6. Step 6: Final answer
    x = 176,479.21

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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.