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Finding the Fourth Proportional to 338,956.68, 508,438.44 and 102,301.32

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Solution

The fourth proportional to 338,956.68, 508,438.44 and 102,301.32 is: 153,453.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,956.68 : 508,438.44 = 102,301.32 : x
  2. Step 2: Convert to fraction form
    338,956.68/508,438.44 = 102,301.32/x
  3. Step 3: Cross multiply
    338,956.68x = 508,438.44 × 102,301.32
  4. Step 4: Simplify right side
    338,956.68x = 52,013,923,550.74
  5. Step 5: Solve for x
    x = 52,013,923,550.74/338,956.68
  6. Step 6: Final answer
    x = 153,453.01

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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.