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Finding the Fourth Proportional to 452,530.80, 678,796.20 and 137,003.40

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Solution

The fourth proportional to 452,530.80, 678,796.20 and 137,003.40 is: 205,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,530.80 : 678,796.20 = 137,003.40 : x
  2. Step 2: Convert to fraction form
    452,530.80/678,796.20 = 137,003.40/x
  3. Step 3: Cross multiply
    452,530.80x = 678,796.20 × 137,003.40
  4. Step 4: Simplify right side
    452,530.80x = 92,997,387,307.08
  5. Step 5: Solve for x
    x = 92,997,387,307.08/452,530.80
  6. Step 6: Final answer
    x = 205,505.10

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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.