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Finding the Fourth Proportional to 348,097.80, 521,109.90 and 207,784.20

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Solution

The fourth proportional to 348,097.80, 521,109.90 and 207,784.20 is: 311,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,097.80 : 521,109.90 = 207,784.20 : x
  2. Step 2: Convert to fraction form
    348,097.80/521,109.90 = 207,784.20/x
  3. Step 3: Cross multiply
    348,097.80x = 521,109.90 × 207,784.20
  4. Step 4: Simplify right side
    348,097.80x = 108,278,403,683.58
  5. Step 5: Solve for x
    x = 108,278,403,683.58/348,097.80
  6. Step 6: Final answer
    x = 311,057.42

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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.