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Finding the Fourth Proportional to 974,253, 1,344,414.64 and 538,644.98

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Solution

The fourth proportional to 974,253, 1,344,414.64 and 538,644.98 is: 743,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,253 : 1,344,414.64 = 538,644.98 : x
  2. Step 2: Convert to fraction form
    974,253/1,344,414.64 = 538,644.98/x
  3. Step 3: Cross multiply
    974,253x = 1,344,414.64 × 538,644.98
  4. Step 4: Simplify right side
    974,253x = 724,162,196,874.51
  5. Step 5: Solve for x
    x = 724,162,196,874.51/974,253
  6. Step 6: Final answer
    x = 743,299.94

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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.