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Finding the Fourth Proportional to 311,444.52, 429,345.54 and 221,865

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Solution

The fourth proportional to 311,444.52, 429,345.54 and 221,865 is: 305,854.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,444.52 : 429,345.54 = 221,865 : x
  2. Step 2: Convert to fraction form
    311,444.52/429,345.54 = 221,865/x
  3. Step 3: Cross multiply
    311,444.52x = 429,345.54 × 221,865
  4. Step 4: Simplify right side
    311,444.52x = 95,256,748,232.10
  5. Step 5: Solve for x
    x = 95,256,748,232.10/311,444.52
  6. Step 6: Final answer
    x = 305,854.63

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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.