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Finding the Fourth Proportional to 297,834.76, 446,807.48 and 98,169.16

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Solution

The fourth proportional to 297,834.76, 446,807.48 and 98,169.16 is: 147,271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,834.76 : 446,807.48 = 98,169.16 : x
  2. Step 2: Convert to fraction form
    297,834.76/446,807.48 = 98,169.16/x
  3. Step 3: Cross multiply
    297,834.76x = 446,807.48 × 98,169.16
  4. Step 4: Simplify right side
    297,834.76x = 43,862,714,993.32
  5. Step 5: Solve for x
    x = 43,862,714,993.32/297,834.76
  6. Step 6: Final answer
    x = 147,271.98

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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.