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Finding the Fourth Proportional to 307,975.74, 461,966.49 and 97,597.50

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Solution

The fourth proportional to 307,975.74, 461,966.49 and 97,597.50 is: 146,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,975.74 : 461,966.49 = 97,597.50 : x
  2. Step 2: Convert to fraction form
    307,975.74/461,966.49 = 97,597.50/x
  3. Step 3: Cross multiply
    307,975.74x = 461,966.49 × 97,597.50
  4. Step 4: Simplify right side
    307,975.74x = 45,086,774,507.78
  5. Step 5: Solve for x
    x = 45,086,774,507.78/307,975.74
  6. Step 6: Final answer
    x = 146,397.16

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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.