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Finding the Fourth Proportional to 592,500, 817,650 and 324,228

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Solution

The fourth proportional to 592,500, 817,650 and 324,228 is: 447,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,500 : 817,650 = 324,228 : x
  2. Step 2: Convert to fraction form
    592,500/817,650 = 324,228/x
  3. Step 3: Cross multiply
    592,500x = 817,650 × 324,228
  4. Step 4: Simplify right side
    592,500x = 265,105,024,200
  5. Step 5: Solve for x
    x = 265,105,024,200/592,500
  6. Step 6: Final answer
    x = 447,434.64

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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.