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Finding the Fourth Proportional to 312,897.44, 431,798.48 and 169,657.44

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Solution

The fourth proportional to 312,897.44, 431,798.48 and 169,657.44 is: 234,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,897.44 : 431,798.48 = 169,657.44 : x
  2. Step 2: Convert to fraction form
    312,897.44/431,798.48 = 169,657.44/x
  3. Step 3: Cross multiply
    312,897.44x = 431,798.48 × 169,657.44
  4. Step 4: Simplify right side
    312,897.44x = 73,257,824,712.69
  5. Step 5: Solve for x
    x = 73,257,824,712.69/312,897.44
  6. Step 6: Final answer
    x = 234,127.27

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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.