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Finding the Fourth Proportional to 369,684.36, 510,295.14 and 218,781

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Solution

The fourth proportional to 369,684.36, 510,295.14 and 218,781 is: 301,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,684.36 : 510,295.14 = 218,781 : x
  2. Step 2: Convert to fraction form
    369,684.36/510,295.14 = 218,781/x
  3. Step 3: Cross multiply
    369,684.36x = 510,295.14 × 218,781
  4. Step 4: Simplify right side
    369,684.36x = 111,642,881,024.34
  5. Step 5: Solve for x
    x = 111,642,881,024.34/369,684.36
  6. Step 6: Final answer
    x = 301,995.14

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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.