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Finding the Fourth Proportional to 614,416.30, 921,536.97 and 193,637.50

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Solution

The fourth proportional to 614,416.30, 921,536.97 and 193,637.50 is: 290,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,416.30 : 921,536.97 = 193,637.50 : x
  2. Step 2: Convert to fraction form
    614,416.30/921,536.97 = 193,637.50/x
  3. Step 3: Cross multiply
    614,416.30x = 921,536.97 × 193,637.50
  4. Step 4: Simplify right side
    614,416.30x = 178,444,115,028.38
  5. Step 5: Solve for x
    x = 178,444,115,028.38/614,416.30
  6. Step 6: Final answer
    x = 290,428.68

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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.