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Finding the Fourth Proportional to 393,605.40, 590,699.70 and 157,117.80

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Solution

The fourth proportional to 393,605.40, 590,699.70 and 157,117.80 is: 235,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,605.40 : 590,699.70 = 157,117.80 : x
  2. Step 2: Convert to fraction form
    393,605.40/590,699.70 = 157,117.80/x
  3. Step 3: Cross multiply
    393,605.40x = 590,699.70 × 157,117.80
  4. Step 4: Simplify right side
    393,605.40x = 92,809,437,324.66
  5. Step 5: Solve for x
    x = 92,809,437,324.66/393,605.40
  6. Step 6: Final answer
    x = 235,793.10

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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.