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Finding the Fourth Proportional to 650,792.24, 897,630.36 and 597,250.16

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Solution

The fourth proportional to 650,792.24, 897,630.36 and 597,250.16 is: 823,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,792.24 : 897,630.36 = 597,250.16 : x
  2. Step 2: Convert to fraction form
    650,792.24/897,630.36 = 597,250.16/x
  3. Step 3: Cross multiply
    650,792.24x = 897,630.36 × 597,250.16
  4. Step 4: Simplify right side
    650,792.24x = 536,109,876,130.86
  5. Step 5: Solve for x
    x = 536,109,876,130.86/650,792.24
  6. Step 6: Final answer
    x = 823,780.38

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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.