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Finding the Fourth Proportional to 369,208.41, 509,677.70 and 216,225.33

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Solution

The fourth proportional to 369,208.41, 509,677.70 and 216,225.33 is: 298,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,208.41 : 509,677.70 = 216,225.33 : x
  2. Step 2: Convert to fraction form
    369,208.41/509,677.70 = 216,225.33/x
  3. Step 3: Cross multiply
    369,208.41x = 509,677.70 × 216,225.33
  4. Step 4: Simplify right side
    369,208.41x = 110,205,227,795.01
  5. Step 5: Solve for x
    x = 110,205,227,795.01/369,208.41
  6. Step 6: Final answer
    x = 298,490.57

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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.