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Finding the Fourth Proportional to 341,722.40, 512,583.60 and 316,839.20

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Solution

The fourth proportional to 341,722.40, 512,583.60 and 316,839.20 is: 475,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,722.40 : 512,583.60 = 316,839.20 : x
  2. Step 2: Convert to fraction form
    341,722.40/512,583.60 = 316,839.20/x
  3. Step 3: Cross multiply
    341,722.40x = 512,583.60 × 316,839.20
  4. Step 4: Simplify right side
    341,722.40x = 162,406,577,757.12
  5. Step 5: Solve for x
    x = 162,406,577,757.12/341,722.40
  6. Step 6: Final answer
    x = 475,258.80

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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.