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Finding the Fourth Proportional to 340,381.39, 469,722.36 and 187,416.40

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Solution

The fourth proportional to 340,381.39, 469,722.36 and 187,416.40 is: 258,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,381.39 : 469,722.36 = 187,416.40 : x
  2. Step 2: Convert to fraction form
    340,381.39/469,722.36 = 187,416.40/x
  3. Step 3: Cross multiply
    340,381.39x = 469,722.36 × 187,416.40
  4. Step 4: Simplify right side
    340,381.39x = 88,033,673,710.70
  5. Step 5: Solve for x
    x = 88,033,673,710.70/340,381.39
  6. Step 6: Final answer
    x = 258,632.45

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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.