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Finding the Fourth Proportional to 346,853.76, 519,736.32 and 206,535.84

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Solution

The fourth proportional to 346,853.76, 519,736.32 and 206,535.84 is: 309,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,853.76 : 519,736.32 = 206,535.84 : x
  2. Step 2: Convert to fraction form
    346,853.76/519,736.32 = 206,535.84/x
  3. Step 3: Cross multiply
    346,853.76x = 519,736.32 × 206,535.84
  4. Step 4: Simplify right side
    346,853.76x = 107,344,177,429.71
  5. Step 5: Solve for x
    x = 107,344,177,429.71/346,853.76
  6. Step 6: Final answer
    x = 309,479.64

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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.