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Finding the Fourth Proportional to 312,514.66, 467,437.01 and 260,909.66

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Solution

The fourth proportional to 312,514.66, 467,437.01 and 260,909.66 is: 390,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,514.66 : 467,437.01 = 260,909.66 : x
  2. Step 2: Convert to fraction form
    312,514.66/467,437.01 = 260,909.66/x
  3. Step 3: Cross multiply
    312,514.66x = 467,437.01 × 260,909.66
  4. Step 4: Simplify right side
    312,514.66x = 121,958,832,682.18
  5. Step 5: Solve for x
    x = 121,958,832,682.18/312,514.66
  6. Step 6: Final answer
    x = 390,249.96

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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.