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Finding the Fourth Proportional to 317,323.80, 476,007.30 and 101,165.40

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Solution

The fourth proportional to 317,323.80, 476,007.30 and 101,165.40 is: 151,754.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,323.80 : 476,007.30 = 101,165.40 : x
  2. Step 2: Convert to fraction form
    317,323.80/476,007.30 = 101,165.40/x
  3. Step 3: Cross multiply
    317,323.80x = 476,007.30 × 101,165.40
  4. Step 4: Simplify right side
    317,323.80x = 48,155,468,907.42
  5. Step 5: Solve for x
    x = 48,155,468,907.42/317,323.80
  6. Step 6: Final answer
    x = 151,754.99

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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.