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Finding the Fourth Proportional to 346,514.52, 519,771.80 and 83,858.52

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Solution

The fourth proportional to 346,514.52, 519,771.80 and 83,858.52 is: 125,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,514.52 : 519,771.80 = 83,858.52 : x
  2. Step 2: Convert to fraction form
    346,514.52/519,771.80 = 83,858.52/x
  3. Step 3: Cross multiply
    346,514.52x = 519,771.80 × 83,858.52
  4. Step 4: Simplify right side
    346,514.52x = 43,587,293,885.74
  5. Step 5: Solve for x
    x = 43,587,293,885.74/346,514.52
  6. Step 6: Final answer
    x = 125,787.78

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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.