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Finding the Fourth Proportional to 317,358.24, 476,038.98 and 106,998

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Solution

The fourth proportional to 317,358.24, 476,038.98 and 106,998 is: 160,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,358.24 : 476,038.98 = 106,998 : x
  2. Step 2: Convert to fraction form
    317,358.24/476,038.98 = 106,998/x
  3. Step 3: Cross multiply
    317,358.24x = 476,038.98 × 106,998
  4. Step 4: Simplify right side
    317,358.24x = 50,935,218,782.04
  5. Step 5: Solve for x
    x = 50,935,218,782.04/317,358.24
  6. Step 6: Final answer
    x = 160,497.55

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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.