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Finding the Fourth Proportional to 330,444, 456,011.12 and 187,203.70

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Solution

The fourth proportional to 330,444, 456,011.12 and 187,203.70 is: 258,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,444 : 456,011.12 = 187,203.70 : x
  2. Step 2: Convert to fraction form
    330,444/456,011.12 = 187,203.70/x
  3. Step 3: Cross multiply
    330,444x = 456,011.12 × 187,203.70
  4. Step 4: Simplify right side
    330,444x = 85,366,968,905.14
  5. Step 5: Solve for x
    x = 85,366,968,905.14/330,444
  6. Step 6: Final answer
    x = 258,340.20

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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.