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Finding the Fourth Proportional to 471,444.62, 707,166.95 and 116,465.36

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Solution

The fourth proportional to 471,444.62, 707,166.95 and 116,465.36 is: 174,698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,444.62 : 707,166.95 = 116,465.36 : x
  2. Step 2: Convert to fraction form
    471,444.62/707,166.95 = 116,465.36/x
  3. Step 3: Cross multiply
    471,444.62x = 707,166.95 × 116,465.36
  4. Step 4: Simplify right side
    471,444.62x = 82,360,449,293.69
  5. Step 5: Solve for x
    x = 82,360,449,293.69/471,444.62
  6. Step 6: Final answer
    x = 174,698.04

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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.