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Finding the Fourth Proportional to 314,298.92, 471,448.38 and 92,631.08

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Solution

The fourth proportional to 314,298.92, 471,448.38 and 92,631.08 is: 138,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,298.92 : 471,448.38 = 92,631.08 : x
  2. Step 2: Convert to fraction form
    314,298.92/471,448.38 = 92,631.08/x
  3. Step 3: Cross multiply
    314,298.92x = 471,448.38 × 92,631.08
  4. Step 4: Simplify right side
    314,298.92x = 43,670,772,603.65
  5. Step 5: Solve for x
    x = 43,670,772,603.65/314,298.92
  6. Step 6: Final answer
    x = 138,946.62

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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.