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Finding the Fourth Proportional to 472,718.74, 709,080.71 and 117,732.76

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Solution

The fourth proportional to 472,718.74, 709,080.71 and 117,732.76 is: 176,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,718.74 : 709,080.71 = 117,732.76 : x
  2. Step 2: Convert to fraction form
    472,718.74/709,080.71 = 117,732.76/x
  3. Step 3: Cross multiply
    472,718.74x = 709,080.71 × 117,732.76
  4. Step 4: Simplify right side
    472,718.74x = 83,482,030,529.43
  5. Step 5: Solve for x
    x = 83,482,030,529.43/472,718.74
  6. Step 6: Final answer
    x = 176,599.79

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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.