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Finding the Fourth Proportional to 307,816.20, 461,724.30 and 97,475.40

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Solution

The fourth proportional to 307,816.20, 461,724.30 and 97,475.40 is: 146,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,816.20 : 461,724.30 = 97,475.40 : x
  2. Step 2: Convert to fraction form
    307,816.20/461,724.30 = 97,475.40/x
  3. Step 3: Cross multiply
    307,816.20x = 461,724.30 × 97,475.40
  4. Step 4: Simplify right side
    307,816.20x = 45,006,760,832.22
  5. Step 5: Solve for x
    x = 45,006,760,832.22/307,816.20
  6. Step 6: Final answer
    x = 146,213.10

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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.