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Finding the Fourth Proportional to 604,192.50, 906,420.78 and 230,215.50

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Solution

The fourth proportional to 604,192.50, 906,420.78 and 230,215.50 is: 345,373.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,192.50 : 906,420.78 = 230,215.50 : x
  2. Step 2: Convert to fraction form
    604,192.50/906,420.78 = 230,215.50/x
  3. Step 3: Cross multiply
    604,192.50x = 906,420.78 × 230,215.50
  4. Step 4: Simplify right side
    604,192.50x = 208,672,113,078.09
  5. Step 5: Solve for x
    x = 208,672,113,078.09/604,192.50
  6. Step 6: Final answer
    x = 345,373.56

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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.