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Finding the Fourth Proportional to 297,579.16, 446,398.14 and 97,818.52

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Solution

The fourth proportional to 297,579.16, 446,398.14 and 97,818.52 is: 146,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,579.16 : 446,398.14 = 97,818.52 : x
  2. Step 2: Convert to fraction form
    297,579.16/446,398.14 = 97,818.52/x
  3. Step 3: Cross multiply
    297,579.16x = 446,398.14 × 97,818.52
  4. Step 4: Simplify right side
    297,579.16x = 43,666,005,385.55
  5. Step 5: Solve for x
    x = 43,666,005,385.55/297,579.16
  6. Step 6: Final answer
    x = 146,737.44

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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.