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Finding the Fourth Proportional to 824,643.90, 1,236,965.85 and 824,643.90

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Solution

The fourth proportional to 824,643.90, 1,236,965.85 and 824,643.90 is: 1,236,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,643.90 : 1,236,965.85 = 824,643.90 : x
  2. Step 2: Convert to fraction form
    824,643.90/1,236,965.85 = 824,643.90/x
  3. Step 3: Cross multiply
    824,643.90x = 1,236,965.85 × 824,643.90
  4. Step 4: Simplify right side
    824,643.90x = 1,020,056,342,710.82
  5. Step 5: Solve for x
    x = 1,020,056,342,710.82/824,643.90
  6. Step 6: Final answer
    x = 1,236,965.85

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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.