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Finding the Fourth Proportional to 369,141.68, 509,420.28 and 218,237.36

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Solution

The fourth proportional to 369,141.68, 509,420.28 and 218,237.36 is: 301,170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,141.68 : 509,420.28 = 218,237.36 : x
  2. Step 2: Convert to fraction form
    369,141.68/509,420.28 = 218,237.36/x
  3. Step 3: Cross multiply
    369,141.68x = 509,420.28 × 218,237.36
  4. Step 4: Simplify right side
    369,141.68x = 111,174,537,037.66
  5. Step 5: Solve for x
    x = 111,174,537,037.66/369,141.68
  6. Step 6: Final answer
    x = 301,170.37

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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.