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Finding the Fourth Proportional to 313,523.76, 432,650.52 and 186,196.08

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Solution

The fourth proportional to 313,523.76, 432,650.52 and 186,196.08 is: 256,943.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,523.76 : 432,650.52 = 186,196.08 : x
  2. Step 2: Convert to fraction form
    313,523.76/432,650.52 = 186,196.08/x
  3. Step 3: Cross multiply
    313,523.76x = 432,650.52 × 186,196.08
  4. Step 4: Simplify right side
    313,523.76x = 80,557,830,833.96
  5. Step 5: Solve for x
    x = 80,557,830,833.96/313,523.76
  6. Step 6: Final answer
    x = 256,943.30

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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.