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Finding the Fourth Proportional to 307,627.70, 461,355.15 and 97,330.10

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Solution

The fourth proportional to 307,627.70, 461,355.15 and 97,330.10 is: 145,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,627.70 : 461,355.15 = 97,330.10 : x
  2. Step 2: Convert to fraction form
    307,627.70/461,355.15 = 97,330.10/x
  3. Step 3: Cross multiply
    307,627.70x = 461,355.15 × 97,330.10
  4. Step 4: Simplify right side
    307,627.70x = 44,903,742,885.02
  5. Step 5: Solve for x
    x = 44,903,742,885.02/307,627.70
  6. Step 6: Final answer
    x = 145,967.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.