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Finding the Fourth Proportional to 1,410,919.32, 1,947,082.95 and 766,352.10

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Solution

The fourth proportional to 1,410,919.32, 1,947,082.95 and 766,352.10 is: 1,057,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,919.32 : 1,947,082.95 = 766,352.10 : x
  2. Step 2: Convert to fraction form
    1,410,919.32/1,947,082.95 = 766,352.10/x
  3. Step 3: Cross multiply
    1,410,919.32x = 1,947,082.95 × 766,352.10
  4. Step 4: Simplify right side
    1,410,919.32x = 1,492,151,107,606.69
  5. Step 5: Solve for x
    x = 1,492,151,107,606.69/1,410,919.32
  6. Step 6: Final answer
    x = 1,057,573.66

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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.