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Finding the Fourth Proportional to 294,051.96, 441,051.72 and 94,318.12

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Solution

The fourth proportional to 294,051.96, 441,051.72 and 94,318.12 is: 141,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,051.96 : 441,051.72 = 94,318.12 : x
  2. Step 2: Convert to fraction form
    294,051.96/441,051.72 = 94,318.12/x
  3. Step 3: Cross multiply
    294,051.96x = 441,051.72 × 94,318.12
  4. Step 4: Simplify right side
    294,051.96x = 41,599,169,053.17
  5. Step 5: Solve for x
    x = 41,599,169,053.17/294,051.96
  6. Step 6: Final answer
    x = 141,468.77

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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.