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Finding the Fourth Proportional to 313,024.44, 468,486.90 and 256,862.28

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Solution

The fourth proportional to 313,024.44, 468,486.90 and 256,862.28 is: 384,432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,024.44 : 468,486.90 = 256,862.28 : x
  2. Step 2: Convert to fraction form
    313,024.44/468,486.90 = 256,862.28/x
  3. Step 3: Cross multiply
    313,024.44x = 468,486.90 × 256,862.28
  4. Step 4: Simplify right side
    313,024.44x = 120,336,613,284.13
  5. Step 5: Solve for x
    x = 120,336,613,284.13/313,024.44
  6. Step 6: Final answer
    x = 384,432.01

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1.5x scale

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.