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Finding the Fourth Proportional to 605,113.80, 906,288.30 and 356,281.80

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Solution

The fourth proportional to 605,113.80, 906,288.30 and 356,281.80 is: 533,608.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,113.80 : 906,288.30 = 356,281.80 : x
  2. Step 2: Convert to fraction form
    605,113.80/906,288.30 = 356,281.80/x
  3. Step 3: Cross multiply
    605,113.80x = 906,288.30 × 356,281.80
  4. Step 4: Simplify right side
    605,113.80x = 322,894,026,842.94
  5. Step 5: Solve for x
    x = 322,894,026,842.94/605,113.80
  6. Step 6: Final answer
    x = 533,608.76

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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.