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Finding the Fourth Proportional to 337,435.72, 465,643.02 and 186,523

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Solution

The fourth proportional to 337,435.72, 465,643.02 and 186,523 is: 257,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,435.72 : 465,643.02 = 186,523 : x
  2. Step 2: Convert to fraction form
    337,435.72/465,643.02 = 186,523/x
  3. Step 3: Cross multiply
    337,435.72x = 465,643.02 × 186,523
  4. Step 4: Simplify right side
    337,435.72x = 86,853,133,019.46
  5. Step 5: Solve for x
    x = 86,853,133,019.46/337,435.72
  6. Step 6: Final answer
    x = 257,391.64

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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.