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Finding the Fourth Proportional to 435,493.60, 653,240.40 and 186,200.80

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Solution

The fourth proportional to 435,493.60, 653,240.40 and 186,200.80 is: 279,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,493.60 : 653,240.40 = 186,200.80 : x
  2. Step 2: Convert to fraction form
    435,493.60/653,240.40 = 186,200.80/x
  3. Step 3: Cross multiply
    435,493.60x = 653,240.40 × 186,200.80
  4. Step 4: Simplify right side
    435,493.60x = 121,633,885,072.32
  5. Step 5: Solve for x
    x = 121,633,885,072.32/435,493.60
  6. Step 6: Final answer
    x = 279,301.20

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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.