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Finding the Fourth Proportional to 600,078.71, 828,082.26 and 342,011.51

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Solution

The fourth proportional to 600,078.71, 828,082.26 and 342,011.51 is: 471,960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,078.71 : 828,082.26 = 342,011.51 : x
  2. Step 2: Convert to fraction form
    600,078.71/828,082.26 = 342,011.51/x
  3. Step 3: Cross multiply
    600,078.71x = 828,082.26 × 342,011.51
  4. Step 4: Simplify right side
    600,078.71x = 283,213,662,436.76
  5. Step 5: Solve for x
    x = 283,213,662,436.76/600,078.71
  6. Step 6: Final answer
    x = 471,960.86

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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.