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Finding the Fourth Proportional to 1,762,542, 2,432,322.54 and 957,726

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Solution

The fourth proportional to 1,762,542, 2,432,322.54 and 957,726 is: 1,321,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,542 : 2,432,322.54 = 957,726 : x
  2. Step 2: Convert to fraction form
    1,762,542/2,432,322.54 = 957,726/x
  3. Step 3: Cross multiply
    1,762,542x = 2,432,322.54 × 957,726
  4. Step 4: Simplify right side
    1,762,542x = 2,329,498,536,944.04
  5. Step 5: Solve for x
    x = 2,329,498,536,944.04/1,762,542
  6. Step 6: Final answer
    x = 1,321,669.80

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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.