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Finding the Fourth Proportional to 461,722.44, 692,638.83 and 436,528.20

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Solution

The fourth proportional to 461,722.44, 692,638.83 and 436,528.20 is: 654,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,722.44 : 692,638.83 = 436,528.20 : x
  2. Step 2: Convert to fraction form
    461,722.44/692,638.83 = 436,528.20/x
  3. Step 3: Cross multiply
    461,722.44x = 692,638.83 × 436,528.20
  4. Step 4: Simplify right side
    461,722.44x = 302,356,381,710.01
  5. Step 5: Solve for x
    x = 302,356,381,710.01/461,722.44
  6. Step 6: Final answer
    x = 654,844.46

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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.