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Finding the Fourth Proportional to 256,706.82, 385,058.88 and 69,718.32

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Solution

The fourth proportional to 256,706.82, 385,058.88 and 69,718.32 is: 104,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,706.82 : 385,058.88 = 69,718.32 : x
  2. Step 2: Convert to fraction form
    256,706.82/385,058.88 = 69,718.32/x
  3. Step 3: Cross multiply
    256,706.82x = 385,058.88 × 69,718.32
  4. Step 4: Simplify right side
    256,706.82x = 26,845,658,214.68
  5. Step 5: Solve for x
    x = 26,845,658,214.68/256,706.82
  6. Step 6: Final answer
    x = 104,577.11

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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.