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Finding the Fourth Proportional to 294,032.08, 441,193.86 and 116,535.16

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Solution

The fourth proportional to 294,032.08, 441,193.86 and 116,535.16 is: 174,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,032.08 : 441,193.86 = 116,535.16 : x
  2. Step 2: Convert to fraction form
    294,032.08/441,193.86 = 116,535.16/x
  3. Step 3: Cross multiply
    294,032.08x = 441,193.86 × 116,535.16
  4. Step 4: Simplify right side
    294,032.08x = 51,414,597,066.12
  5. Step 5: Solve for x
    x = 51,414,597,066.12/294,032.08
  6. Step 6: Final answer
    x = 174,860.50

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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.