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Finding the Fourth Proportional to 460,149.20, 635,004.60 and 258,945.20

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Solution

The fourth proportional to 460,149.20, 635,004.60 and 258,945.20 is: 357,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,149.20 : 635,004.60 = 258,945.20 : x
  2. Step 2: Convert to fraction form
    460,149.20/635,004.60 = 258,945.20/x
  3. Step 3: Cross multiply
    460,149.20x = 635,004.60 × 258,945.20
  4. Step 4: Simplify right side
    460,149.20x = 164,431,393,147.92
  5. Step 5: Solve for x
    x = 164,431,393,147.92/460,149.20
  6. Step 6: Final answer
    x = 357,343.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.