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Finding the Fourth Proportional to 1,215,946.62, 1,823,642.30 and 457,868.03

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Solution

The fourth proportional to 1,215,946.62, 1,823,642.30 and 457,868.03 is: 686,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,946.62 : 1,823,642.30 = 457,868.03 : x
  2. Step 2: Convert to fraction form
    1,215,946.62/1,823,642.30 = 457,868.03/x
  3. Step 3: Cross multiply
    1,215,946.62x = 1,823,642.30 × 457,868.03
  4. Step 4: Simplify right side
    1,215,946.62x = 834,987,499,352.13
  5. Step 5: Solve for x
    x = 834,987,499,352.13/1,215,946.62
  6. Step 6: Final answer
    x = 686,697.50

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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.