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Finding the Fourth Proportional to 429,266.52, 592,390.12 and 268,215

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Solution

The fourth proportional to 429,266.52, 592,390.12 and 268,215 is: 370,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,266.52 : 592,390.12 = 268,215 : x
  2. Step 2: Convert to fraction form
    429,266.52/592,390.12 = 268,215/x
  3. Step 3: Cross multiply
    429,266.52x = 592,390.12 × 268,215
  4. Step 4: Simplify right side
    429,266.52x = 158,887,916,035.80
  5. Step 5: Solve for x
    x = 158,887,916,035.80/429,266.52
  6. Step 6: Final answer
    x = 370,138.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.