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Finding the Fourth Proportional to 378,341.80, 567,512.70 and 317,516.20

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Solution

The fourth proportional to 378,341.80, 567,512.70 and 317,516.20 is: 476,274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,341.80 : 567,512.70 = 317,516.20 : x
  2. Step 2: Convert to fraction form
    378,341.80/567,512.70 = 317,516.20/x
  3. Step 3: Cross multiply
    378,341.80x = 567,512.70 × 317,516.20
  4. Step 4: Simplify right side
    378,341.80x = 180,194,475,955.74
  5. Step 5: Solve for x
    x = 180,194,475,955.74/378,341.80
  6. Step 6: Final answer
    x = 476,274.30

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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.