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Finding the Fourth Proportional to 284,218.84, 392,234.70 and 163,399.24

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Solution

The fourth proportional to 284,218.84, 392,234.70 and 163,399.24 is: 225,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,218.84 : 392,234.70 = 163,399.24 : x
  2. Step 2: Convert to fraction form
    284,218.84/392,234.70 = 163,399.24/x
  3. Step 3: Cross multiply
    284,218.84x = 392,234.70 × 163,399.24
  4. Step 4: Simplify right side
    284,218.84x = 64,090,851,881.63
  5. Step 5: Solve for x
    x = 64,090,851,881.63/284,218.84
  6. Step 6: Final answer
    x = 225,498.25

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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.