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Finding the Fourth Proportional to 592,298.74, 817,372.32 and 320,366.65

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Solution

The fourth proportional to 592,298.74, 817,372.32 and 320,366.65 is: 442,106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,298.74 : 817,372.32 = 320,366.65 : x
  2. Step 2: Convert to fraction form
    592,298.74/817,372.32 = 320,366.65/x
  3. Step 3: Cross multiply
    592,298.74x = 817,372.32 × 320,366.65
  4. Step 4: Simplify right side
    592,298.74x = 261,858,831,961.13
  5. Step 5: Solve for x
    x = 261,858,831,961.13/592,298.74
  6. Step 6: Final answer
    x = 442,106.01

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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.