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Finding the Fourth Proportional to 1,299,078.78, 1,949,011.83 and 588,916.14

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Solution

The fourth proportional to 1,299,078.78, 1,949,011.83 and 588,916.14 is: 883,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,078.78 : 1,949,011.83 = 588,916.14 : x
  2. Step 2: Convert to fraction form
    1,299,078.78/1,949,011.83 = 588,916.14/x
  3. Step 3: Cross multiply
    1,299,078.78x = 1,949,011.83 × 588,916.14
  4. Step 4: Simplify right side
    1,299,078.78x = 1,147,804,523,737.94
  5. Step 5: Solve for x
    x = 1,147,804,523,737.94/1,299,078.78
  6. Step 6: Final answer
    x = 883,552.67

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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.