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Finding the Fourth Proportional to 1,974,289.14, 2,961,434.10 and 712,116.63

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Solution

The fourth proportional to 1,974,289.14, 2,961,434.10 and 712,116.63 is: 1,068,175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,289.14 : 2,961,434.10 = 712,116.63 : x
  2. Step 2: Convert to fraction form
    1,974,289.14/2,961,434.10 = 712,116.63/x
  3. Step 3: Cross multiply
    1,974,289.14x = 2,961,434.10 × 712,116.63
  4. Step 4: Simplify right side
    1,974,289.14x = 2,108,886,471,259.08
  5. Step 5: Solve for x
    x = 2,108,886,471,259.08/1,974,289.14
  6. Step 6: Final answer
    x = 1,068,175.09

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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.