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Finding the Fourth Proportional to 205,046.70, 307,570.05 and 171,804.30

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Solution

The fourth proportional to 205,046.70, 307,570.05 and 171,804.30 is: 257,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,046.70 : 307,570.05 = 171,804.30 : x
  2. Step 2: Convert to fraction form
    205,046.70/307,570.05 = 171,804.30/x
  3. Step 3: Cross multiply
    205,046.70x = 307,570.05 × 171,804.30
  4. Step 4: Simplify right side
    205,046.70x = 52,841,857,141.22
  5. Step 5: Solve for x
    x = 52,841,857,141.22/205,046.70
  6. Step 6: Final answer
    x = 257,706.45

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1.5x scale

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.