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Finding the Fourth Proportional to 429,782.98, 643,788.50 and 251,750.24

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Solution

The fourth proportional to 429,782.98, 643,788.50 and 251,750.24 is: 377,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,782.98 : 643,788.50 = 251,750.24 : x
  2. Step 2: Convert to fraction form
    429,782.98/643,788.50 = 251,750.24/x
  3. Step 3: Cross multiply
    429,782.98x = 643,788.50 × 251,750.24
  4. Step 4: Simplify right side
    429,782.98x = 162,073,909,384.24
  5. Step 5: Solve for x
    x = 162,073,909,384.24/429,782.98
  6. Step 6: Final answer
    x = 377,106.39

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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.