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Finding the Fourth Proportional to 605,730.40, 835,909.14 and 364,016.68

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Solution

The fourth proportional to 605,730.40, 835,909.14 and 364,016.68 is: 502,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,730.40 : 835,909.14 = 364,016.68 : x
  2. Step 2: Convert to fraction form
    605,730.40/835,909.14 = 364,016.68/x
  3. Step 3: Cross multiply
    605,730.40x = 835,909.14 × 364,016.68
  4. Step 4: Simplify right side
    605,730.40x = 304,284,869,924.46
  5. Step 5: Solve for x
    x = 304,284,869,924.46/605,730.40
  6. Step 6: Final answer
    x = 502,343.73

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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.