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Finding the Fourth Proportional to 496,651.80, 745,458.84 and 469,678.80

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Solution

The fourth proportional to 496,651.80, 745,458.84 and 469,678.80 is: 704,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,651.80 : 745,458.84 = 469,678.80 : x
  2. Step 2: Convert to fraction form
    496,651.80/745,458.84 = 469,678.80/x
  3. Step 3: Cross multiply
    496,651.80x = 745,458.84 × 469,678.80
  4. Step 4: Simplify right side
    496,651.80x = 350,126,213,420.59
  5. Step 5: Solve for x
    x = 350,126,213,420.59/496,651.80
  6. Step 6: Final answer
    x = 704,973.21

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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.