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Finding the Fourth Proportional to 293,308.14, 439,947.62 and 160,447.90

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Solution

The fourth proportional to 293,308.14, 439,947.62 and 160,447.90 is: 240,663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,308.14 : 439,947.62 = 160,447.90 : x
  2. Step 2: Convert to fraction form
    293,308.14/439,947.62 = 160,447.90/x
  3. Step 3: Cross multiply
    293,308.14x = 439,947.62 × 160,447.90
  4. Step 4: Simplify right side
    293,308.14x = 70,588,671,739.00
  5. Step 5: Solve for x
    x = 70,588,671,739.00/293,308.14
  6. Step 6: Final answer
    x = 240,663.87

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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.