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Finding the Fourth Proportional to 397,854.81, 596,776.31 and 98,335.37

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Solution

The fourth proportional to 397,854.81, 596,776.31 and 98,335.37 is: 147,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,854.81 : 596,776.31 = 98,335.37 : x
  2. Step 2: Convert to fraction form
    397,854.81/596,776.31 = 98,335.37/x
  3. Step 3: Cross multiply
    397,854.81x = 596,776.31 × 98,335.37
  4. Step 4: Simplify right side
    397,854.81x = 58,684,220,620.11
  5. Step 5: Solve for x
    x = 58,684,220,620.11/397,854.81
  6. Step 6: Final answer
    x = 147,501.60

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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.