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Finding the Fourth Proportional to 284,828.66, 393,066.17 and 157,506.38

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Solution

The fourth proportional to 284,828.66, 393,066.17 and 157,506.38 is: 217,360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,828.66 : 393,066.17 = 157,506.38 : x
  2. Step 2: Convert to fraction form
    284,828.66/393,066.17 = 157,506.38/x
  3. Step 3: Cross multiply
    284,828.66x = 393,066.17 × 157,506.38
  4. Step 4: Simplify right side
    284,828.66x = 61,910,426,784.30
  5. Step 5: Solve for x
    x = 61,910,426,784.30/284,828.66
  6. Step 6: Final answer
    x = 217,360.25

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Why These Related Problems?

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