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Finding the Fourth Proportional to 296,291.62, 444,332.28 and 106,701.10

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Solution

The fourth proportional to 296,291.62, 444,332.28 and 106,701.10 is: 160,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,291.62 : 444,332.28 = 106,701.10 : x
  2. Step 2: Convert to fraction form
    296,291.62/444,332.28 = 106,701.10/x
  3. Step 3: Cross multiply
    296,291.62x = 444,332.28 × 106,701.10
  4. Step 4: Simplify right side
    296,291.62x = 47,410,743,041.51
  5. Step 5: Solve for x
    x = 47,410,743,041.51/296,291.62
  6. Step 6: Final answer
    x = 160,013.78

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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.