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Finding the Fourth Proportional to 341,983.80, 512,975.70 and 314,427.60

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Solution

The fourth proportional to 341,983.80, 512,975.70 and 314,427.60 is: 471,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,983.80 : 512,975.70 = 314,427.60 : x
  2. Step 2: Convert to fraction form
    341,983.80/512,975.70 = 314,427.60/x
  3. Step 3: Cross multiply
    341,983.80x = 512,975.70 × 314,427.60
  4. Step 4: Simplify right side
    341,983.80x = 161,293,718,209.32
  5. Step 5: Solve for x
    x = 161,293,718,209.32/341,983.80
  6. Step 6: Final answer
    x = 471,641.40

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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.