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Finding the Fourth Proportional to 307,965.32, 461,878.32 and 97,488.44

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Solution

The fourth proportional to 307,965.32, 461,878.32 and 97,488.44 is: 146,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,965.32 : 461,878.32 = 97,488.44 : x
  2. Step 2: Convert to fraction form
    307,965.32/461,878.32 = 97,488.44/x
  3. Step 3: Cross multiply
    307,965.32x = 461,878.32 × 97,488.44
  4. Step 4: Simplify right side
    307,965.32x = 45,027,796,886.62
  5. Step 5: Solve for x
    x = 45,027,796,886.62/307,965.32
  6. Step 6: Final answer
    x = 146,210.61

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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.