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Finding the Fourth Proportional to 341,077.59, 511,971.24 and 251,221.76

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Solution

The fourth proportional to 341,077.59, 511,971.24 and 251,221.76 is: 377,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,077.59 : 511,971.24 = 251,221.76 : x
  2. Step 2: Convert to fraction form
    341,077.59/511,971.24 = 251,221.76/x
  3. Step 3: Cross multiply
    341,077.59x = 511,971.24 × 251,221.76
  4. Step 4: Simplify right side
    341,077.59x = 128,618,314,726.07
  5. Step 5: Solve for x
    x = 128,618,314,726.07/341,077.59
  6. Step 6: Final answer
    x = 377,094.01

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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.