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Finding the Fourth Proportional to 1,068,752.56, 1,604,209.09 and 947,965.06

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Solution

The fourth proportional to 1,068,752.56, 1,604,209.09 and 947,965.06 is: 1,422,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068,752.56 : 1,604,209.09 = 947,965.06 : x
  2. Step 2: Convert to fraction form
    1,068,752.56/1,604,209.09 = 947,965.06/x
  3. Step 3: Cross multiply
    1,068,752.56x = 1,604,209.09 × 947,965.06
  4. Step 4: Simplify right side
    1,068,752.56x = 1,520,734,170,077.03
  5. Step 5: Solve for x
    x = 1,520,734,170,077.03/1,068,752.56
  6. Step 6: Final answer
    x = 1,422,905.76

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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.