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Finding the Fourth Proportional to 314,074.32, 433,426.76 and 179,938

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Solution

The fourth proportional to 314,074.32, 433,426.76 and 179,938 is: 248,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,074.32 : 433,426.76 = 179,938 : x
  2. Step 2: Convert to fraction form
    314,074.32/433,426.76 = 179,938/x
  3. Step 3: Cross multiply
    314,074.32x = 433,426.76 × 179,938
  4. Step 4: Simplify right side
    314,074.32x = 77,989,944,340.88
  5. Step 5: Solve for x
    x = 77,989,944,340.88/314,074.32
  6. Step 6: Final answer
    x = 248,316.85

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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.