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Finding the Fourth Proportional to 294,353.31, 441,595.82 and 107,364.81

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Solution

The fourth proportional to 294,353.31, 441,595.82 and 107,364.81 is: 161,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,353.31 : 441,595.82 = 107,364.81 : x
  2. Step 2: Convert to fraction form
    294,353.31/441,595.82 = 107,364.81/x
  3. Step 3: Cross multiply
    294,353.31x = 441,595.82 × 107,364.81
  4. Step 4: Simplify right side
    294,353.31x = 47,411,851,311.09
  5. Step 5: Solve for x
    x = 47,411,851,311.09/294,353.31
  6. Step 6: Final answer
    x = 161,071.24

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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.