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Finding the Fourth Proportional to 534,655.80, 802,199.70 and 235,193.40

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Solution

The fourth proportional to 534,655.80, 802,199.70 and 235,193.40 is: 352,885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,655.80 : 802,199.70 = 235,193.40 : x
  2. Step 2: Convert to fraction form
    534,655.80/802,199.70 = 235,193.40/x
  3. Step 3: Cross multiply
    534,655.80x = 802,199.70 × 235,193.40
  4. Step 4: Simplify right side
    534,655.80x = 188,672,074,921.98
  5. Step 5: Solve for x
    x = 188,672,074,921.98/534,655.80
  6. Step 6: Final answer
    x = 352,885.12

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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.