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Finding the Fourth Proportional to 583,664.80, 805,320.24 and 354,217

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Solution

The fourth proportional to 583,664.80, 805,320.24 and 354,217 is: 488,736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,664.80 : 805,320.24 = 354,217 : x
  2. Step 2: Convert to fraction form
    583,664.80/805,320.24 = 354,217/x
  3. Step 3: Cross multiply
    583,664.80x = 805,320.24 × 354,217
  4. Step 4: Simplify right side
    583,664.80x = 285,258,119,452.08
  5. Step 5: Solve for x
    x = 285,258,119,452.08/583,664.80
  6. Step 6: Final answer
    x = 488,736.21

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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.