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Finding the Fourth Proportional to 257,859.38, 387,043.63 and 193,594.01

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Solution

The fourth proportional to 257,859.38, 387,043.63 and 193,594.01 is: 290,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,859.38 : 387,043.63 = 193,594.01 : x
  2. Step 2: Convert to fraction form
    257,859.38/387,043.63 = 193,594.01/x
  3. Step 3: Cross multiply
    257,859.38x = 387,043.63 × 193,594.01
  4. Step 4: Simplify right side
    257,859.38x = 74,929,325,957.45
  5. Step 5: Solve for x
    x = 74,929,325,957.45/257,859.38
  6. Step 6: Final answer
    x = 290,582.12

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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.