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Finding the Fourth Proportional to 592,667, 817,880.40 and 320,734.88

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Solution

The fourth proportional to 592,667, 817,880.40 and 320,734.88 is: 442,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,667 : 817,880.40 = 320,734.88 : x
  2. Step 2: Convert to fraction form
    592,667/817,880.40 = 320,734.88/x
  3. Step 3: Cross multiply
    592,667x = 817,880.40 × 320,734.88
  4. Step 4: Simplify right side
    592,667x = 262,322,771,948.35
  5. Step 5: Solve for x
    x = 262,322,771,948.35/592,667
  6. Step 6: Final answer
    x = 442,614.10

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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.