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Finding the Fourth Proportional to 457,186.96, 685,825.54 and 157,628.10

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Solution

The fourth proportional to 457,186.96, 685,825.54 and 157,628.10 is: 236,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,186.96 : 685,825.54 = 157,628.10 : x
  2. Step 2: Convert to fraction form
    457,186.96/685,825.54 = 157,628.10/x
  3. Step 3: Cross multiply
    457,186.96x = 685,825.54 × 157,628.10
  4. Step 4: Simplify right side
    457,186.96x = 108,105,376,801.67
  5. Step 5: Solve for x
    x = 108,105,376,801.67/457,186.96
  6. Step 6: Final answer
    x = 236,457.70

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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.