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Finding the Fourth Proportional to 408,841.63, 563,962.30 and 265,697.01

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Solution

The fourth proportional to 408,841.63, 563,962.30 and 265,697.01 is: 366,506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,841.63 : 563,962.30 = 265,697.01 : x
  2. Step 2: Convert to fraction form
    408,841.63/563,962.30 = 265,697.01/x
  3. Step 3: Cross multiply
    408,841.63x = 563,962.30 × 265,697.01
  4. Step 4: Simplify right side
    408,841.63x = 149,843,096,198.48
  5. Step 5: Solve for x
    x = 149,843,096,198.48/408,841.63
  6. Step 6: Final answer
    x = 366,506.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.