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Finding the Fourth Proportional to 307,740.40, 461,564.40 and 97,351

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Solution

The fourth proportional to 307,740.40, 461,564.40 and 97,351 is: 146,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,740.40 : 461,564.40 = 97,351 : x
  2. Step 2: Convert to fraction form
    307,740.40/461,564.40 = 97,351/x
  3. Step 3: Cross multiply
    307,740.40x = 461,564.40 × 97,351
  4. Step 4: Simplify right side
    307,740.40x = 44,933,755,904.40
  5. Step 5: Solve for x
    x = 44,933,755,904.40/307,740.40
  6. Step 6: Final answer
    x = 146,011.89

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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.