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Finding the Fourth Proportional to 341,716.40, 512,574.60 and 316,833.20

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Solution

The fourth proportional to 341,716.40, 512,574.60 and 316,833.20 is: 475,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,716.40 : 512,574.60 = 316,833.20 : x
  2. Step 2: Convert to fraction form
    341,716.40/512,574.60 = 316,833.20/x
  3. Step 3: Cross multiply
    341,716.40x = 512,574.60 × 316,833.20
  4. Step 4: Simplify right side
    341,716.40x = 162,400,650,756.72
  5. Step 5: Solve for x
    x = 162,400,650,756.72/341,716.40
  6. Step 6: Final answer
    x = 475,249.80

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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.