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Finding the Fourth Proportional to 457,144.84, 685,762.40 and 157,585.96

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Solution

The fourth proportional to 457,144.84, 685,762.40 and 157,585.96 is: 236,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,144.84 : 685,762.40 = 157,585.96 : x
  2. Step 2: Convert to fraction form
    457,144.84/685,762.40 = 157,585.96/x
  3. Step 3: Cross multiply
    457,144.84x = 685,762.40 × 157,585.96
  4. Step 4: Simplify right side
    457,144.84x = 108,066,526,135.90
  5. Step 5: Solve for x
    x = 108,066,526,135.90/457,144.84
  6. Step 6: Final answer
    x = 236,394.50

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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.