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Finding the Fourth Proportional to 362,852.53, 500,801.94 and 209,869.45

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Solution

The fourth proportional to 362,852.53, 500,801.94 and 209,869.45 is: 289,657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,852.53 : 500,801.94 = 209,869.45 : x
  2. Step 2: Convert to fraction form
    362,852.53/500,801.94 = 209,869.45/x
  3. Step 3: Cross multiply
    362,852.53x = 500,801.94 × 209,869.45
  4. Step 4: Simplify right side
    362,852.53x = 105,103,026,454.73
  5. Step 5: Solve for x
    x = 105,103,026,454.73/362,852.53
  6. Step 6: Final answer
    x = 289,657.69

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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.