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Finding the Fourth Proportional to 340,866.09, 470,395.14 and 187,906.80

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Solution

The fourth proportional to 340,866.09, 470,395.14 and 187,906.80 is: 259,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,866.09 : 470,395.14 = 187,906.80 : x
  2. Step 2: Convert to fraction form
    340,866.09/470,395.14 = 187,906.80/x
  3. Step 3: Cross multiply
    340,866.09x = 470,395.14 × 187,906.80
  4. Step 4: Simplify right side
    340,866.09x = 88,390,445,492.95
  5. Step 5: Solve for x
    x = 88,390,445,492.95/340,866.09
  6. Step 6: Final answer
    x = 259,311.35

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1.5x scale

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.