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Finding the Fourth Proportional to 294,410.40, 441,680.76 and 107,421.36

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Solution

The fourth proportional to 294,410.40, 441,680.76 and 107,421.36 is: 161,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,410.40 : 441,680.76 = 107,421.36 : x
  2. Step 2: Convert to fraction form
    294,410.40/441,680.76 = 107,421.36/x
  3. Step 3: Cross multiply
    294,410.40x = 441,680.76 × 107,421.36
  4. Step 4: Simplify right side
    294,410.40x = 47,445,947,925.03
  5. Step 5: Solve for x
    x = 47,445,947,925.03/294,410.40
  6. Step 6: Final answer
    x = 161,155.81

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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.