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Finding the Fourth Proportional to 294,409.90, 441,680.01 and 107,420.86

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Solution

The fourth proportional to 294,409.90, 441,680.01 and 107,420.86 is: 161,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,409.90 : 441,680.01 = 107,420.86 : x
  2. Step 2: Convert to fraction form
    294,409.90/441,680.01 = 107,420.86/x
  3. Step 3: Cross multiply
    294,409.90x = 441,680.01 × 107,420.86
  4. Step 4: Simplify right side
    294,409.90x = 47,445,646,519.01
  5. Step 5: Solve for x
    x = 47,445,646,519.01/294,409.90
  6. Step 6: Final answer
    x = 161,155.06

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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.