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Finding the Fourth Proportional to 307,617.10, 461,382.45 and 97,276.30

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Solution

The fourth proportional to 307,617.10, 461,382.45 and 97,276.30 is: 145,900.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,617.10 : 461,382.45 = 97,276.30 : x
  2. Step 2: Convert to fraction form
    307,617.10/461,382.45 = 97,276.30/x
  3. Step 3: Cross multiply
    307,617.10x = 461,382.45 × 97,276.30
  4. Step 4: Simplify right side
    307,617.10x = 44,881,577,620.94
  5. Step 5: Solve for x
    x = 44,881,577,620.94/307,617.10
  6. Step 6: Final answer
    x = 145,900.79

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1.5x scale

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.