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Finding the Fourth Proportional to 584,125.50, 806,053.86 and 335,775.30

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Solution

The fourth proportional to 584,125.50, 806,053.86 and 335,775.30 is: 463,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,125.50 : 806,053.86 = 335,775.30 : x
  2. Step 2: Convert to fraction form
    584,125.50/806,053.86 = 335,775.30/x
  3. Step 3: Cross multiply
    584,125.50x = 806,053.86 × 335,775.30
  4. Step 4: Simplify right side
    584,125.50x = 270,652,976,657.66
  5. Step 5: Solve for x
    x = 270,652,976,657.66/584,125.50
  6. Step 6: Final answer
    x = 463,347.31

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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.