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Finding the Fourth Proportional to 398,358.09, 597,535.52 and 161,698.77

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Solution

The fourth proportional to 398,358.09, 597,535.52 and 161,698.77 is: 242,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,358.09 : 597,535.52 = 161,698.77 : x
  2. Step 2: Convert to fraction form
    398,358.09/597,535.52 = 161,698.77/x
  3. Step 3: Cross multiply
    398,358.09x = 597,535.52 × 161,698.77
  4. Step 4: Simplify right side
    398,358.09x = 96,620,757,806.82
  5. Step 5: Solve for x
    x = 96,620,757,806.82/398,358.09
  6. Step 6: Final answer
    x = 242,547.50

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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.