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Finding the Fourth Proportional to 515,187.50, 710,716.83 and 364,367.66

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Solution

The fourth proportional to 515,187.50, 710,716.83 and 364,367.66 is: 502,656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,187.50 : 710,716.83 = 364,367.66 : x
  2. Step 2: Convert to fraction form
    515,187.50/710,716.83 = 364,367.66/x
  3. Step 3: Cross multiply
    515,187.50x = 710,716.83 × 364,367.66
  4. Step 4: Simplify right side
    515,187.50x = 258,962,228,269.72
  5. Step 5: Solve for x
    x = 258,962,228,269.72/515,187.50
  6. Step 6: Final answer
    x = 502,656.27

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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.