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Finding the Fourth Proportional to 398,543.91, 597,813.63 and 99,024.36

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Solution

The fourth proportional to 398,543.91, 597,813.63 and 99,024.36 is: 148,535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,543.91 : 597,813.63 = 99,024.36 : x
  2. Step 2: Convert to fraction form
    398,543.91/597,813.63 = 99,024.36/x
  3. Step 3: Cross multiply
    398,543.91x = 597,813.63 × 99,024.36
  4. Step 4: Simplify right side
    398,543.91x = 59,198,109,496.88
  5. Step 5: Solve for x
    x = 59,198,109,496.88/398,543.91
  6. Step 6: Final answer
    x = 148,535.98

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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.