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Finding the Fourth Proportional to 256,497.42, 384,746.14 and 69,508.92

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Solution

The fourth proportional to 256,497.42, 384,746.14 and 69,508.92 is: 104,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,497.42 : 384,746.14 = 69,508.92 : x
  2. Step 2: Convert to fraction form
    256,497.42/384,746.14 = 69,508.92/x
  3. Step 3: Cross multiply
    256,497.42x = 384,746.14 × 69,508.92
  4. Step 4: Simplify right side
    256,497.42x = 26,743,288,665.57
  5. Step 5: Solve for x
    x = 26,743,288,665.57/256,497.42
  6. Step 6: Final answer
    x = 104,263.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.