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Finding the Fourth Proportional to 297,908.10, 417,624.30 and 297,908.10

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Solution

The fourth proportional to 297,908.10, 417,624.30 and 297,908.10 is: 417,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,908.10 : 417,624.30 = 297,908.10 : x
  2. Step 2: Convert to fraction form
    297,908.10/417,624.30 = 297,908.10/x
  3. Step 3: Cross multiply
    297,908.10x = 417,624.30 × 297,908.10
  4. Step 4: Simplify right side
    297,908.10x = 124,413,661,726.83
  5. Step 5: Solve for x
    x = 124,413,661,726.83/297,908.10
  6. Step 6: Final answer
    x = 417,624.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.