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Finding the Fourth Proportional to 429,460.52, 643,939.14 and 287,467.52

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Solution

The fourth proportional to 429,460.52, 643,939.14 and 287,467.52 is: 431,032.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,460.52 : 643,939.14 = 287,467.52 : x
  2. Step 2: Convert to fraction form
    429,460.52/643,939.14 = 287,467.52/x
  3. Step 3: Cross multiply
    429,460.52x = 643,939.14 × 287,467.52
  4. Step 4: Simplify right side
    429,460.52x = 185,111,587,606.73
  5. Step 5: Solve for x
    x = 185,111,587,606.73/429,460.52
  6. Step 6: Final answer
    x = 431,032.84

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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.