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Finding the Fourth Proportional to 473,149.14, 709,723.74 and 377,933.52

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Solution

The fourth proportional to 473,149.14, 709,723.74 and 377,933.52 is: 566,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,149.14 : 709,723.74 = 377,933.52 : x
  2. Step 2: Convert to fraction form
    473,149.14/709,723.74 = 377,933.52/x
  3. Step 3: Cross multiply
    473,149.14x = 709,723.74 × 377,933.52
  4. Step 4: Simplify right side
    473,149.14x = 268,228,391,285.77
  5. Step 5: Solve for x
    x = 268,228,391,285.77/473,149.14
  6. Step 6: Final answer
    x = 566,900.30

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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.