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Finding the Fourth Proportional to 406,615.76, 609,923.52 and 196,663.76

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Solution

The fourth proportional to 406,615.76, 609,923.52 and 196,663.76 is: 294,995.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,615.76 : 609,923.52 = 196,663.76 : x
  2. Step 2: Convert to fraction form
    406,615.76/609,923.52 = 196,663.76/x
  3. Step 3: Cross multiply
    406,615.76x = 609,923.52 × 196,663.76
  4. Step 4: Simplify right side
    406,615.76x = 119,949,852,755.64
  5. Step 5: Solve for x
    x = 119,949,852,755.64/406,615.76
  6. Step 6: Final answer
    x = 294,995.58

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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.