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Finding the Fourth Proportional to 417,891.84, 576,249.84 and 296,907.12

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Solution

The fourth proportional to 417,891.84, 576,249.84 and 296,907.12 is: 409,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,891.84 : 576,249.84 = 296,907.12 : x
  2. Step 2: Convert to fraction form
    417,891.84/576,249.84 = 296,907.12/x
  3. Step 3: Cross multiply
    417,891.84x = 576,249.84 × 296,907.12
  4. Step 4: Simplify right side
    417,891.84x = 171,092,680,394.86
  5. Step 5: Solve for x
    x = 171,092,680,394.86/417,891.84
  6. Step 6: Final answer
    x = 409,418.57

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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.