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Finding the Fourth Proportional to 297,179.40, 445,823.10 and 97,444.20

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Solution

The fourth proportional to 297,179.40, 445,823.10 and 97,444.20 is: 146,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,179.40 : 445,823.10 = 97,444.20 : x
  2. Step 2: Convert to fraction form
    297,179.40/445,823.10 = 97,444.20/x
  3. Step 3: Cross multiply
    297,179.40x = 445,823.10 × 97,444.20
  4. Step 4: Simplify right side
    297,179.40x = 43,442,875,321.02
  5. Step 5: Solve for x
    x = 43,442,875,321.02/297,179.40
  6. Step 6: Final answer
    x = 146,184.01

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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.