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Finding the Fourth Proportional to 600,894.50, 829,796.49 and 386,407.22

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Solution

The fourth proportional to 600,894.50, 829,796.49 and 386,407.22 is: 533,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,894.50 : 829,796.49 = 386,407.22 : x
  2. Step 2: Convert to fraction form
    600,894.50/829,796.49 = 386,407.22/x
  3. Step 3: Cross multiply
    600,894.50x = 829,796.49 × 386,407.22
  4. Step 4: Simplify right side
    600,894.50x = 320,639,354,866.66
  5. Step 5: Solve for x
    x = 320,639,354,866.66/600,894.50
  6. Step 6: Final answer
    x = 533,603.41

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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.