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Finding the Fourth Proportional to 1,123,311.30, 1,684,966.95 and 1,123,311.30

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Solution

The fourth proportional to 1,123,311.30, 1,684,966.95 and 1,123,311.30 is: 1,684,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123,311.30 : 1,684,966.95 = 1,123,311.30 : x
  2. Step 2: Convert to fraction form
    1,123,311.30/1,684,966.95 = 1,123,311.30/x
  3. Step 3: Cross multiply
    1,123,311.30x = 1,684,966.95 × 1,123,311.30
  4. Step 4: Simplify right side
    1,123,311.30x = 1,892,742,415,061.54
  5. Step 5: Solve for x
    x = 1,892,742,415,061.54/1,123,311.30
  6. Step 6: Final answer
    x = 1,684,966.95

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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.