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Finding the Fourth Proportional to 313,659.92, 432,801.96 and 186,332.24

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Solution

The fourth proportional to 313,659.92, 432,801.96 and 186,332.24 is: 257,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,659.92 : 432,801.96 = 186,332.24 : x
  2. Step 2: Convert to fraction form
    313,659.92/432,801.96 = 186,332.24/x
  3. Step 3: Cross multiply
    313,659.92x = 432,801.96 × 186,332.24
  4. Step 4: Simplify right side
    313,659.92x = 80,644,958,683.19
  5. Step 5: Solve for x
    x = 80,644,958,683.19/313,659.92
  6. Step 6: Final answer
    x = 257,109.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.