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Finding the Fourth Proportional to 343,965.16, 474,645.88 and 193,033

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Solution

The fourth proportional to 343,965.16, 474,645.88 and 193,033 is: 266,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,965.16 : 474,645.88 = 193,033 : x
  2. Step 2: Convert to fraction form
    343,965.16/474,645.88 = 193,033/x
  3. Step 3: Cross multiply
    343,965.16x = 474,645.88 × 193,033
  4. Step 4: Simplify right side
    343,965.16x = 91,622,318,154.04
  5. Step 5: Solve for x
    x = 91,622,318,154.04/343,965.16
  6. Step 6: Final answer
    x = 266,370.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.