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Finding the Fourth Proportional to 322,894.80, 484,384.52 and 106,681.70

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Solution

The fourth proportional to 322,894.80, 484,384.52 and 106,681.70 is: 160,036.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,894.80 : 484,384.52 = 106,681.70 : x
  2. Step 2: Convert to fraction form
    322,894.80/484,384.52 = 106,681.70/x
  3. Step 3: Cross multiply
    322,894.80x = 484,384.52 × 106,681.70
  4. Step 4: Simplify right side
    322,894.80x = 51,674,964,047.28
  5. Step 5: Solve for x
    x = 51,674,964,047.28/322,894.80
  6. Step 6: Final answer
    x = 160,036.53

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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.