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Finding the Fourth Proportional to 330,995, 456,780.40 and 180,092

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Solution

The fourth proportional to 330,995, 456,780.40 and 180,092 is: 248,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,995 : 456,780.40 = 180,092 : x
  2. Step 2: Convert to fraction form
    330,995/456,780.40 = 180,092/x
  3. Step 3: Cross multiply
    330,995x = 456,780.40 × 180,092
  4. Step 4: Simplify right side
    330,995x = 82,262,495,796.80
  5. Step 5: Solve for x
    x = 82,262,495,796.80/330,995
  6. Step 6: Final answer
    x = 248,530.93

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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.