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Finding the Fourth Proportional to 462,798.34, 693,405.03 and 252,583.78

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Solution

The fourth proportional to 462,798.34, 693,405.03 and 252,583.78 is: 378,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,798.34 : 693,405.03 = 252,583.78 : x
  2. Step 2: Convert to fraction form
    462,798.34/693,405.03 = 252,583.78/x
  3. Step 3: Cross multiply
    462,798.34x = 693,405.03 × 252,583.78
  4. Step 4: Simplify right side
    462,798.34x = 175,142,863,548.41
  5. Step 5: Solve for x
    x = 175,142,863,548.41/462,798.34
  6. Step 6: Final answer
    x = 378,443.15

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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.