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Finding the Fourth Proportional to 634,806.14, 952,214.79 and 161,492

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Solution

The fourth proportional to 634,806.14, 952,214.79 and 161,492 is: 242,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,806.14 : 952,214.79 = 161,492 : x
  2. Step 2: Convert to fraction form
    634,806.14/952,214.79 = 161,492/x
  3. Step 3: Cross multiply
    634,806.14x = 952,214.79 × 161,492
  4. Step 4: Simplify right side
    634,806.14x = 153,775,070,866.68
  5. Step 5: Solve for x
    x = 153,775,070,866.68/634,806.14
  6. Step 6: Final answer
    x = 242,239.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.