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Finding the Fourth Proportional to 457,286.22, 685,962.54 and 157,762.80

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Solution

The fourth proportional to 457,286.22, 685,962.54 and 157,762.80 is: 236,655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,286.22 : 685,962.54 = 157,762.80 : x
  2. Step 2: Convert to fraction form
    457,286.22/685,962.54 = 157,762.80/x
  3. Step 3: Cross multiply
    457,286.22x = 685,962.54 × 157,762.80
  4. Step 4: Simplify right side
    457,286.22x = 108,219,371,005.51
  5. Step 5: Solve for x
    x = 108,219,371,005.51/457,286.22
  6. Step 6: Final answer
    x = 236,655.66

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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.