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Finding the Fourth Proportional to 462,780.42, 693,995.43 and 252,303.78

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Solution

The fourth proportional to 462,780.42, 693,995.43 and 252,303.78 is: 378,360.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,780.42 : 693,995.43 = 252,303.78 : x
  2. Step 2: Convert to fraction form
    462,780.42/693,995.43 = 252,303.78/x
  3. Step 3: Cross multiply
    462,780.42x = 693,995.43 × 252,303.78
  4. Step 4: Simplify right side
    462,780.42x = 175,097,670,291.73
  5. Step 5: Solve for x
    x = 175,097,670,291.73/462,780.42
  6. Step 6: Final answer
    x = 378,360.15

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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.