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Finding the Fourth Proportional to 235,373.88, 354,341.46 and 214,448.34

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Solution

The fourth proportional to 235,373.88, 354,341.46 and 214,448.34 is: 322,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,373.88 : 354,341.46 = 214,448.34 : x
  2. Step 2: Convert to fraction form
    235,373.88/354,341.46 = 214,448.34/x
  3. Step 3: Cross multiply
    235,373.88x = 354,341.46 × 214,448.34
  4. Step 4: Simplify right side
    235,373.88x = 75,987,937,890.18
  5. Step 5: Solve for x
    x = 75,987,937,890.18/235,373.88
  6. Step 6: Final answer
    x = 322,839.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.