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Finding the Fourth Proportional to 307,987.60, 461,938.20 and 97,646.80

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Solution

The fourth proportional to 307,987.60, 461,938.20 and 97,646.80 is: 146,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,987.60 : 461,938.20 = 97,646.80 : x
  2. Step 2: Convert to fraction form
    307,987.60/461,938.20 = 97,646.80/x
  3. Step 3: Cross multiply
    307,987.60x = 461,938.20 × 97,646.80
  4. Step 4: Simplify right side
    307,987.60x = 45,106,787,027.76
  5. Step 5: Solve for x
    x = 45,106,787,027.76/307,987.60
  6. Step 6: Final answer
    x = 146,456.50

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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.