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Finding the Fourth Proportional to 531,797.76, 733,883.13 and 290,085.48

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Solution

The fourth proportional to 531,797.76, 733,883.13 and 290,085.48 is: 400,319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,797.76 : 733,883.13 = 290,085.48 : x
  2. Step 2: Convert to fraction form
    531,797.76/733,883.13 = 290,085.48/x
  3. Step 3: Cross multiply
    531,797.76x = 733,883.13 × 290,085.48
  4. Step 4: Simplify right side
    531,797.76x = 212,888,840,029.95
  5. Step 5: Solve for x
    x = 212,888,840,029.95/531,797.76
  6. Step 6: Final answer
    x = 400,319.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.