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Finding the Fourth Proportional to 650,805.24, 897,648.30 and 597,263.16

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Solution

The fourth proportional to 650,805.24, 897,648.30 and 597,263.16 is: 823,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,805.24 : 897,648.30 = 597,263.16 : x
  2. Step 2: Convert to fraction form
    650,805.24/897,648.30 = 597,263.16/x
  3. Step 3: Cross multiply
    650,805.24x = 897,648.30 × 597,263.16
  4. Step 4: Simplify right side
    650,805.24x = 536,132,260,226.63
  5. Step 5: Solve for x
    x = 536,132,260,226.63/650,805.24
  6. Step 6: Final answer
    x = 823,798.32

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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.