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Finding the Fourth Proportional to 340,915.50, 470,465.82 and 187,959.42

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Solution

The fourth proportional to 340,915.50, 470,465.82 and 187,959.42 is: 259,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,915.50 : 470,465.82 = 187,959.42 : x
  2. Step 2: Convert to fraction form
    340,915.50/470,465.82 = 187,959.42/x
  3. Step 3: Cross multiply
    340,915.50x = 470,465.82 × 187,959.42
  4. Step 4: Simplify right side
    340,915.50x = 88,428,482,657.02
  5. Step 5: Solve for x
    x = 88,428,482,657.02/340,915.50
  6. Step 6: Final answer
    x = 259,385.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.