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Finding the Fourth Proportional to 429,029.87, 643,752.56 and 176,496.98

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Solution

The fourth proportional to 429,029.87, 643,752.56 and 176,496.98 is: 264,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,029.87 : 643,752.56 = 176,496.98 : x
  2. Step 2: Convert to fraction form
    429,029.87/643,752.56 = 176,496.98/x
  3. Step 3: Cross multiply
    429,029.87x = 643,752.56 × 176,496.98
  4. Step 4: Simplify right side
    429,029.87x = 113,620,379,929.75
  5. Step 5: Solve for x
    x = 113,620,379,929.75/429,029.87
  6. Step 6: Final answer
    x = 264,830.93

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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.