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Finding the Fourth Proportional to 284,494.40, 392,599.32 and 157,161.68

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Solution

The fourth proportional to 284,494.40, 392,599.32 and 157,161.68 is: 216,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,494.40 : 392,599.32 = 157,161.68 : x
  2. Step 2: Convert to fraction form
    284,494.40/392,599.32 = 157,161.68/x
  3. Step 3: Cross multiply
    284,494.40x = 392,599.32 × 157,161.68
  4. Step 4: Simplify right side
    284,494.40x = 61,701,568,698.06
  5. Step 5: Solve for x
    x = 61,701,568,698.06/284,494.40
  6. Step 6: Final answer
    x = 216,881.49

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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.