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Finding the Fourth Proportional to 469,658.88, 704,764.80 and 174,378.24

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Solution

The fourth proportional to 469,658.88, 704,764.80 and 174,378.24 is: 261,670.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,658.88 : 704,764.80 = 174,378.24 : x
  2. Step 2: Convert to fraction form
    469,658.88/704,764.80 = 174,378.24/x
  3. Step 3: Cross multiply
    469,658.88x = 704,764.80 × 174,378.24
  4. Step 4: Simplify right side
    469,658.88x = 122,895,645,437.95
  5. Step 5: Solve for x
    x = 122,895,645,437.95/469,658.88
  6. Step 6: Final answer
    x = 261,670.01

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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.