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Finding the Fourth Proportional to 341,152.32, 511,509.51 and 141,610.44

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Solution

The fourth proportional to 341,152.32, 511,509.51 and 141,610.44 is: 212,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,152.32 : 511,509.51 = 141,610.44 : x
  2. Step 2: Convert to fraction form
    341,152.32/511,509.51 = 141,610.44/x
  3. Step 3: Cross multiply
    341,152.32x = 511,509.51 × 141,610.44
  4. Step 4: Simplify right side
    341,152.32x = 72,435,086,775.28
  5. Step 5: Solve for x
    x = 72,435,086,775.28/341,152.32
  6. Step 6: Final answer
    x = 212,324.77

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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.