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Finding the Fourth Proportional to 473,943.84, 654,043.80 and 259,086.48

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Solution

The fourth proportional to 473,943.84, 654,043.80 and 259,086.48 is: 357,540.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,943.84 : 654,043.80 = 259,086.48 : x
  2. Step 2: Convert to fraction form
    473,943.84/654,043.80 = 259,086.48/x
  3. Step 3: Cross multiply
    473,943.84x = 654,043.80 × 259,086.48
  4. Step 4: Simplify right side
    473,943.84x = 169,453,905,907.82
  5. Step 5: Solve for x
    x = 169,453,905,907.82/473,943.84
  6. Step 6: Final answer
    x = 357,540.05

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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.