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Finding the Fourth Proportional to 398,663.51, 597,995.28 and 162,024.66

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Solution

The fourth proportional to 398,663.51, 597,995.28 and 162,024.66 is: 243,037.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,663.51 : 597,995.28 = 162,024.66 : x
  2. Step 2: Convert to fraction form
    398,663.51/597,995.28 = 162,024.66/x
  3. Step 3: Cross multiply
    398,663.51x = 597,995.28 × 162,024.66
  4. Step 4: Simplify right side
    398,663.51x = 96,889,981,923.60
  5. Step 5: Solve for x
    x = 96,889,981,923.60/398,663.51
  6. Step 6: Final answer
    x = 243,037.00

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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.