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Finding the Fourth Proportional to 284,657.91, 392,828.03 and 157,333.51

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Solution

The fourth proportional to 284,657.91, 392,828.03 and 157,333.51 is: 217,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,657.91 : 392,828.03 = 157,333.51 : x
  2. Step 2: Convert to fraction form
    284,657.91/392,828.03 = 157,333.51/x
  3. Step 3: Cross multiply
    284,657.91x = 392,828.03 × 157,333.51
  4. Step 4: Simplify right side
    284,657.91x = 61,805,012,786.29
  5. Step 5: Solve for x
    x = 61,805,012,786.29/284,657.91
  6. Step 6: Final answer
    x = 217,120.31

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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.