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Finding the Fourth Proportional to 231,473.16, 346,643.49 and 209,034.54

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Solution

The fourth proportional to 231,473.16, 346,643.49 and 209,034.54 is: 313,040.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,473.16 : 346,643.49 = 209,034.54 : x
  2. Step 2: Convert to fraction form
    231,473.16/346,643.49 = 209,034.54/x
  3. Step 3: Cross multiply
    231,473.16x = 346,643.49 × 209,034.54
  4. Step 4: Simplify right side
    231,473.16x = 72,460,462,476.14
  5. Step 5: Solve for x
    x = 72,460,462,476.14/231,473.16
  6. Step 6: Final answer
    x = 313,040.45

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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.