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Finding the Fourth Proportional to 340,878.87, 470,416.17 and 187,923.06

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Solution

The fourth proportional to 340,878.87, 470,416.17 and 187,923.06 is: 259,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,878.87 : 470,416.17 = 187,923.06 : x
  2. Step 2: Convert to fraction form
    340,878.87/470,416.17 = 187,923.06/x
  3. Step 3: Cross multiply
    340,878.87x = 470,416.17 × 187,923.06
  4. Step 4: Simplify right side
    340,878.87x = 88,402,046,139.88
  5. Step 5: Solve for x
    x = 88,402,046,139.88/340,878.87
  6. Step 6: Final answer
    x = 259,335.66

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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.