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Finding the Fourth Proportional to 465,521.52, 698,628.81 and 345,857.07

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Solution

The fourth proportional to 465,521.52, 698,628.81 and 345,857.07 is: 519,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,521.52 : 698,628.81 = 345,857.07 : x
  2. Step 2: Convert to fraction form
    465,521.52/698,628.81 = 345,857.07/x
  3. Step 3: Cross multiply
    465,521.52x = 698,628.81 × 345,857.07
  4. Step 4: Simplify right side
    465,521.52x = 241,625,713,244.19
  5. Step 5: Solve for x
    x = 241,625,713,244.19/465,521.52
  6. Step 6: Final answer
    x = 519,043.06

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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.