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Finding the Fourth Proportional to 413,005.48, 618,623.70 and 202,204.60

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Solution

The fourth proportional to 413,005.48, 618,623.70 and 202,204.60 is: 302,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,005.48 : 618,623.70 = 202,204.60 : x
  2. Step 2: Convert to fraction form
    413,005.48/618,623.70 = 202,204.60/x
  3. Step 3: Cross multiply
    413,005.48x = 618,623.70 × 202,204.60
  4. Step 4: Simplify right side
    413,005.48x = 125,088,557,809.02
  5. Step 5: Solve for x
    x = 125,088,557,809.02/413,005.48
  6. Step 6: Final answer
    x = 302,873.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.