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Finding the Fourth Proportional to 307,719.90, 461,533.68 and 97,330.50

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Solution

The fourth proportional to 307,719.90, 461,533.68 and 97,330.50 is: 145,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,719.90 : 461,533.68 = 97,330.50 : x
  2. Step 2: Convert to fraction form
    307,719.90/461,533.68 = 97,330.50/x
  3. Step 3: Cross multiply
    307,719.90x = 461,533.68 × 97,330.50
  4. Step 4: Simplify right side
    307,719.90x = 44,921,303,841.24
  5. Step 5: Solve for x
    x = 44,921,303,841.24/307,719.90
  6. Step 6: Final answer
    x = 145,981.15

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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.