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Finding the Fourth Proportional to 256,640, 384,953.52 and 69,646.64

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Solution

The fourth proportional to 256,640, 384,953.52 and 69,646.64 is: 104,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,640 : 384,953.52 = 69,646.64 : x
  2. Step 2: Convert to fraction form
    256,640/384,953.52 = 69,646.64/x
  3. Step 3: Cross multiply
    256,640x = 384,953.52 × 69,646.64
  4. Step 4: Simplify right side
    256,640x = 26,810,719,224.17
  5. Step 5: Solve for x
    x = 26,810,719,224.17/256,640
  6. Step 6: Final answer
    x = 104,468.20

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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.