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Finding the Fourth Proportional to 416,966.94, 625,465.44 and 117,473.69

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Solution

The fourth proportional to 416,966.94, 625,465.44 and 117,473.69 is: 176,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,966.94 : 625,465.44 = 117,473.69 : x
  2. Step 2: Convert to fraction form
    416,966.94/625,465.44 = 117,473.69/x
  3. Step 3: Cross multiply
    416,966.94x = 625,465.44 × 117,473.69
  4. Step 4: Simplify right side
    416,966.94x = 73,475,733,644.80
  5. Step 5: Solve for x
    x = 73,475,733,644.80/416,966.94
  6. Step 6: Final answer
    x = 176,214.77

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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.