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Finding the Fourth Proportional to 364,088.69, 502,115.19 and 228,137.21

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Solution

The fourth proportional to 364,088.69, 502,115.19 and 228,137.21 is: 314,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,088.69 : 502,115.19 = 228,137.21 : x
  2. Step 2: Convert to fraction form
    364,088.69/502,115.19 = 228,137.21/x
  3. Step 3: Cross multiply
    364,088.69x = 502,115.19 × 228,137.21
  4. Step 4: Simplify right side
    364,088.69x = 114,551,158,545.22
  5. Step 5: Solve for x
    x = 114,551,158,545.22/364,088.69
  6. Step 6: Final answer
    x = 314,624.33

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