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Finding the Fourth Proportional to 256,298.58, 384,418.71 and 69,295.50

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Solution

The fourth proportional to 256,298.58, 384,418.71 and 69,295.50 is: 103,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,298.58 : 384,418.71 = 69,295.50 : x
  2. Step 2: Convert to fraction form
    256,298.58/384,418.71 = 69,295.50/x
  3. Step 3: Cross multiply
    256,298.58x = 384,418.71 × 69,295.50
  4. Step 4: Simplify right side
    256,298.58x = 26,638,486,718.81
  5. Step 5: Solve for x
    x = 26,638,486,718.81/256,298.58
  6. Step 6: Final answer
    x = 103,935.37

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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.