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Finding the Fourth Proportional to 297,490.01, 410,535.96 and 163,354.01

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Solution

The fourth proportional to 297,490.01, 410,535.96 and 163,354.01 is: 225,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,490.01 : 410,535.96 = 163,354.01 : x
  2. Step 2: Convert to fraction form
    297,490.01/410,535.96 = 163,354.01/x
  3. Step 3: Cross multiply
    297,490.01x = 410,535.96 × 163,354.01
  4. Step 4: Simplify right side
    297,490.01x = 67,062,695,315.20
  5. Step 5: Solve for x
    x = 67,062,695,315.20/297,490.01
  6. Step 6: Final answer
    x = 225,428.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.