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Finding the Fourth Proportional to 397,854.91, 596,776.49 and 98,335.52

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Solution

The fourth proportional to 397,854.91, 596,776.49 and 98,335.52 is: 147,501.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,854.91 : 596,776.49 = 98,335.52 : x
  2. Step 2: Convert to fraction form
    397,854.91/596,776.49 = 98,335.52/x
  3. Step 3: Cross multiply
    397,854.91x = 596,776.49 × 98,335.52
  4. Step 4: Simplify right side
    397,854.91x = 58,684,326,467.92
  5. Step 5: Solve for x
    x = 58,684,326,467.92/397,854.91
  6. Step 6: Final answer
    x = 147,501.83

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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.