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Finding the Fourth Proportional to 649,098.54, 972,777.50 and 505,178.15

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Solution

The fourth proportional to 649,098.54, 972,777.50 and 505,178.15 is: 757,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,098.54 : 972,777.50 = 505,178.15 : x
  2. Step 2: Convert to fraction form
    649,098.54/972,777.50 = 505,178.15/x
  3. Step 3: Cross multiply
    649,098.54x = 972,777.50 × 505,178.15
  4. Step 4: Simplify right side
    649,098.54x = 491,425,941,506.51
  5. Step 5: Solve for x
    x = 491,425,941,506.51/649,098.54
  6. Step 6: Final answer
    x = 757,089.89

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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.