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Finding the Fourth Proportional to 316,978.24, 475,496.76 and 114,624.96

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Solution

The fourth proportional to 316,978.24, 475,496.76 and 114,624.96 is: 171,948.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,978.24 : 475,496.76 = 114,624.96 : x
  2. Step 2: Convert to fraction form
    316,978.24/475,496.76 = 114,624.96/x
  3. Step 3: Cross multiply
    316,978.24x = 475,496.76 × 114,624.96
  4. Step 4: Simplify right side
    316,978.24x = 54,503,797,095.13
  5. Step 5: Solve for x
    x = 54,503,797,095.13/316,978.24
  6. Step 6: Final answer
    x = 171,948.07

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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.