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Finding the Fourth Proportional to 1,213,823.20, 1,696,203.20 and 1,213,823.20

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Solution

The fourth proportional to 1,213,823.20, 1,696,203.20 and 1,213,823.20 is: 1,696,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,823.20 : 1,696,203.20 = 1,213,823.20 : x
  2. Step 2: Convert to fraction form
    1,213,823.20/1,696,203.20 = 1,213,823.20/x
  3. Step 3: Cross multiply
    1,213,823.20x = 1,696,203.20 × 1,213,823.20
  4. Step 4: Simplify right side
    1,213,823.20x = 2,058,890,796,074.24
  5. Step 5: Solve for x
    x = 2,058,890,796,074.24/1,213,823.20
  6. Step 6: Final answer
    x = 1,696,203.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.