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Finding the Fourth Proportional to 634,642.60, 952,007.10 and 202,325.80

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Solution

The fourth proportional to 634,642.60, 952,007.10 and 202,325.80 is: 303,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,642.60 : 952,007.10 = 202,325.80 : x
  2. Step 2: Convert to fraction form
    634,642.60/952,007.10 = 202,325.80/x
  3. Step 3: Cross multiply
    634,642.60x = 952,007.10 × 202,325.80
  4. Step 4: Simplify right side
    634,642.60x = 192,615,598,113.18
  5. Step 5: Solve for x
    x = 192,615,598,113.18/634,642.60
  6. Step 6: Final answer
    x = 303,502.47

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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.