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Finding the Fourth Proportional to 457,148.94, 685,768.52 and 157,590.07

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Solution

The fourth proportional to 457,148.94, 685,768.52 and 157,590.07 is: 236,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,148.94 : 685,768.52 = 157,590.07 : x
  2. Step 2: Convert to fraction form
    457,148.94/685,768.52 = 157,590.07/x
  3. Step 3: Cross multiply
    457,148.94x = 685,768.52 × 157,590.07
  4. Step 4: Simplify right side
    457,148.94x = 108,070,309,070.60
  5. Step 5: Solve for x
    x = 108,070,309,070.60/457,148.94
  6. Step 6: Final answer
    x = 236,400.66

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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.