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Finding the Fourth Proportional to 256,460.68, 384,347.14 and 199,603.26

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Solution

The fourth proportional to 256,460.68, 384,347.14 and 199,603.26 is: 299,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,460.68 : 384,347.14 = 199,603.26 : x
  2. Step 2: Convert to fraction form
    256,460.68/384,347.14 = 199,603.26/x
  3. Step 3: Cross multiply
    256,460.68x = 384,347.14 × 199,603.26
  4. Step 4: Simplify right side
    256,460.68x = 76,716,942,115.68
  5. Step 5: Solve for x
    x = 76,716,942,115.68/256,460.68
  6. Step 6: Final answer
    x = 299,137.25

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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.