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Finding the Fourth Proportional to 317,799.20, 476,699.65 and 77,914.19

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Solution

The fourth proportional to 317,799.20, 476,699.65 and 77,914.19 is: 116,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,799.20 : 476,699.65 = 77,914.19 : x
  2. Step 2: Convert to fraction form
    317,799.20/476,699.65 = 77,914.19/x
  3. Step 3: Cross multiply
    317,799.20x = 476,699.65 × 77,914.19
  4. Step 4: Simplify right side
    317,799.20x = 37,141,668,100.00
  5. Step 5: Solve for x
    x = 37,141,668,100.00/317,799.20
  6. Step 6: Final answer
    x = 116,871.50

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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.