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Finding the Fourth Proportional to 483,523.54, 725,398.80 and 475,490.46

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Solution

The fourth proportional to 483,523.54, 725,398.80 and 475,490.46 is: 713,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,523.54 : 725,398.80 = 475,490.46 : x
  2. Step 2: Convert to fraction form
    483,523.54/725,398.80 = 475,490.46/x
  3. Step 3: Cross multiply
    483,523.54x = 725,398.80 × 475,490.46
  4. Step 4: Simplify right side
    483,523.54x = 344,920,209,095.45
  5. Step 5: Solve for x
    x = 344,920,209,095.45/483,523.54
  6. Step 6: Final answer
    x = 713,347.29

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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.