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Finding the Fourth Proportional to 513,993.78, 709,533.81 and 386,700.66

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Solution

The fourth proportional to 513,993.78, 709,533.81 and 386,700.66 is: 533,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,993.78 : 709,533.81 = 386,700.66 : x
  2. Step 2: Convert to fraction form
    513,993.78/709,533.81 = 386,700.66/x
  3. Step 3: Cross multiply
    513,993.78x = 709,533.81 × 386,700.66
  4. Step 4: Simplify right side
    513,993.78x = 274,377,192,619.32
  5. Step 5: Solve for x
    x = 274,377,192,619.32/513,993.78
  6. Step 6: Final answer
    x = 533,814.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.