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Finding the Fourth Proportional to 497,298.66, 745,942.50 and 297,674.70

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Solution

The fourth proportional to 497,298.66, 745,942.50 and 297,674.70 is: 446,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,298.66 : 745,942.50 = 297,674.70 : x
  2. Step 2: Convert to fraction form
    497,298.66/745,942.50 = 297,674.70/x
  3. Step 3: Cross multiply
    497,298.66x = 745,942.50 × 297,674.70
  4. Step 4: Simplify right side
    497,298.66x = 222,048,209,904.75
  5. Step 5: Solve for x
    x = 222,048,209,904.75/497,298.66
  6. Step 6: Final answer
    x = 446,508.76

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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.