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Finding the Fourth Proportional to 349,068.52, 523,447.26 and 127,297

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Solution

The fourth proportional to 349,068.52, 523,447.26 and 127,297 is: 190,888.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,068.52 : 523,447.26 = 127,297 : x
  2. Step 2: Convert to fraction form
    349,068.52/523,447.26 = 127,297/x
  3. Step 3: Cross multiply
    349,068.52x = 523,447.26 × 127,297
  4. Step 4: Simplify right side
    349,068.52x = 66,633,265,856.22
  5. Step 5: Solve for x
    x = 66,633,265,856.22/349,068.52
  6. Step 6: Final answer
    x = 190,888.79

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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.