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Finding the Fourth Proportional to 456,940.46, 685,456.59 and 157,381.58

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Solution

The fourth proportional to 456,940.46, 685,456.59 and 157,381.58 is: 236,088.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,940.46 : 685,456.59 = 157,381.58 : x
  2. Step 2: Convert to fraction form
    456,940.46/685,456.59 = 157,381.58/x
  3. Step 3: Cross multiply
    456,940.46x = 685,456.59 × 157,381.58
  4. Step 4: Simplify right side
    456,940.46x = 107,878,241,155.61
  5. Step 5: Solve for x
    x = 107,878,241,155.61/456,940.46
  6. Step 6: Final answer
    x = 236,088.18

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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.