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Finding the Fourth Proportional to 297,937.37, 446,919.65 and 98,275.16

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Solution

The fourth proportional to 297,937.37, 446,919.65 and 98,275.16 is: 147,417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,937.37 : 446,919.65 = 98,275.16 : x
  2. Step 2: Convert to fraction form
    297,937.37/446,919.65 = 98,275.16/x
  3. Step 3: Cross multiply
    297,937.37x = 446,919.65 × 98,275.16
  4. Step 4: Simplify right side
    297,937.37x = 43,921,100,110.89
  5. Step 5: Solve for x
    x = 43,921,100,110.89/297,937.37
  6. Step 6: Final answer
    x = 147,417.22

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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.