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Finding the Fourth Proportional to 592,448, 817,578.24 and 324,176

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Solution

The fourth proportional to 592,448, 817,578.24 and 324,176 is: 447,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,448 : 817,578.24 = 324,176 : x
  2. Step 2: Convert to fraction form
    592,448/817,578.24 = 324,176/x
  3. Step 3: Cross multiply
    592,448x = 817,578.24 × 324,176
  4. Step 4: Simplify right side
    592,448x = 265,039,243,530.24
  5. Step 5: Solve for x
    x = 265,039,243,530.24/592,448
  6. Step 6: Final answer
    x = 447,362.88

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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.