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Finding the Fourth Proportional to 224,897.40, 337,368.10 and 64,977

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Solution

The fourth proportional to 224,897.40, 337,368.10 and 64,977 is: 97,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,897.40 : 337,368.10 = 64,977 : x
  2. Step 2: Convert to fraction form
    224,897.40/337,368.10 = 64,977/x
  3. Step 3: Cross multiply
    224,897.40x = 337,368.10 × 64,977
  4. Step 4: Simplify right side
    224,897.40x = 21,921,167,033.70
  5. Step 5: Solve for x
    x = 21,921,167,033.70/224,897.40
  6. Step 6: Final answer
    x = 97,471.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.