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Finding the Fourth Proportional to 1,736,224.30, 2,603,461.65 and 1,026,469.90

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Solution

The fourth proportional to 1,736,224.30, 2,603,461.65 and 1,026,469.90 is: 1,539,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,224.30 : 2,603,461.65 = 1,026,469.90 : x
  2. Step 2: Convert to fraction form
    1,736,224.30/2,603,461.65 = 1,026,469.90/x
  3. Step 3: Cross multiply
    1,736,224.30x = 2,603,461.65 × 1,026,469.90
  4. Step 4: Simplify right side
    1,736,224.30x = 2,672,375,019,529.34
  5. Step 5: Solve for x
    x = 2,672,375,019,529.34/1,736,224.30
  6. Step 6: Final answer
    x = 1,539,187.66

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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.