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Finding the Fourth Proportional to 502,047.40, 753,066.30 and 122,969.80

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Solution

The fourth proportional to 502,047.40, 753,066.30 and 122,969.80 is: 184,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,047.40 : 753,066.30 = 122,969.80 : x
  2. Step 2: Convert to fraction form
    502,047.40/753,066.30 = 122,969.80/x
  3. Step 3: Cross multiply
    502,047.40x = 753,066.30 × 122,969.80
  4. Step 4: Simplify right side
    502,047.40x = 92,604,412,297.74
  5. Step 5: Solve for x
    x = 92,604,412,297.74/502,047.40
  6. Step 6: Final answer
    x = 184,453.52

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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.