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Finding the Fourth Proportional to 233,419.40, 350,129.10 and 203,894.90

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Solution

The fourth proportional to 233,419.40, 350,129.10 and 203,894.90 is: 305,842.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,419.40 : 350,129.10 = 203,894.90 : x
  2. Step 2: Convert to fraction form
    233,419.40/350,129.10 = 203,894.90/x
  3. Step 3: Cross multiply
    233,419.40x = 350,129.10 × 203,894.90
  4. Step 4: Simplify right side
    233,419.40x = 71,389,537,831.59
  5. Step 5: Solve for x
    x = 71,389,537,831.59/233,419.40
  6. Step 6: Final answer
    x = 305,842.35

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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.