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Finding the Fourth Proportional to 337,036.54, 465,200.07 and 209,639.74

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Solution

The fourth proportional to 337,036.54, 465,200.07 and 209,639.74 is: 289,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,036.54 : 465,200.07 = 209,639.74 : x
  2. Step 2: Convert to fraction form
    337,036.54/465,200.07 = 209,639.74/x
  3. Step 3: Cross multiply
    337,036.54x = 465,200.07 × 209,639.74
  4. Step 4: Simplify right side
    337,036.54x = 97,524,421,722.78
  5. Step 5: Solve for x
    x = 97,524,421,722.78/337,036.54
  6. Step 6: Final answer
    x = 289,358.60

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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.