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Finding the Fourth Proportional to 857,203.61, 1,285,805.34 and 288,536.99

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Solution

The fourth proportional to 857,203.61, 1,285,805.34 and 288,536.99 is: 432,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,203.61 : 1,285,805.34 = 288,536.99 : x
  2. Step 2: Convert to fraction form
    857,203.61/1,285,805.34 = 288,536.99/x
  3. Step 3: Cross multiply
    857,203.61x = 1,285,805.34 × 288,536.99
  4. Step 4: Simplify right side
    857,203.61x = 371,002,396,100.50
  5. Step 5: Solve for x
    x = 371,002,396,100.50/857,203.61
  6. Step 6: Final answer
    x = 432,805.45

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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.