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Finding the Fourth Proportional to 592,704, 817,944.48 and 324,432

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Solution

The fourth proportional to 592,704, 817,944.48 and 324,432 is: 447,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,704 : 817,944.48 = 324,432 : x
  2. Step 2: Convert to fraction form
    592,704/817,944.48 = 324,432/x
  3. Step 3: Cross multiply
    592,704x = 817,944.48 × 324,432
  4. Step 4: Simplify right side
    592,704x = 265,367,363,535.36
  5. Step 5: Solve for x
    x = 265,367,363,535.36/592,704
  6. Step 6: Final answer
    x = 447,723.25

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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.