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Finding the Fourth Proportional to 307,952.70, 461,924.01 and 97,590.30

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Solution

The fourth proportional to 307,952.70, 461,924.01 and 97,590.30 is: 146,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,952.70 : 461,924.01 = 97,590.30 : x
  2. Step 2: Convert to fraction form
    307,952.70/461,924.01 = 97,590.30/x
  3. Step 3: Cross multiply
    307,952.70x = 461,924.01 × 97,590.30
  4. Step 4: Simplify right side
    307,952.70x = 45,079,302,713.10
  5. Step 5: Solve for x
    x = 45,079,302,713.10/307,952.70
  6. Step 6: Final answer
    x = 146,383.85

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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.