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Finding the Fourth Proportional to 294,500.71, 406,400.21 and 179,971.05

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Solution

The fourth proportional to 294,500.71, 406,400.21 and 179,971.05 is: 248,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,500.71 : 406,400.21 = 179,971.05 : x
  2. Step 2: Convert to fraction form
    294,500.71/406,400.21 = 179,971.05/x
  3. Step 3: Cross multiply
    294,500.71x = 406,400.21 × 179,971.05
  4. Step 4: Simplify right side
    294,500.71x = 73,140,272,513.92
  5. Step 5: Solve for x
    x = 73,140,272,513.92/294,500.71
  6. Step 6: Final answer
    x = 248,353.47

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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.