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Finding the Fourth Proportional to 351,005.78, 526,563.34 and 114,293.40

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Solution

The fourth proportional to 351,005.78, 526,563.34 and 114,293.40 is: 171,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,005.78 : 526,563.34 = 114,293.40 : x
  2. Step 2: Convert to fraction form
    351,005.78/526,563.34 = 114,293.40/x
  3. Step 3: Cross multiply
    351,005.78x = 526,563.34 × 114,293.40
  4. Step 4: Simplify right side
    351,005.78x = 60,182,714,443.96
  5. Step 5: Solve for x
    x = 60,182,714,443.96/351,005.78
  6. Step 6: Final answer
    x = 171,457.90

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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.