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Finding the Fourth Proportional to 294,032.50, 441,048.75 and 127,820.50

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Solution

The fourth proportional to 294,032.50, 441,048.75 and 127,820.50 is: 191,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,032.50 : 441,048.75 = 127,820.50 : x
  2. Step 2: Convert to fraction form
    294,032.50/441,048.75 = 127,820.50/x
  3. Step 3: Cross multiply
    294,032.50x = 441,048.75 × 127,820.50
  4. Step 4: Simplify right side
    294,032.50x = 56,375,071,749.38
  5. Step 5: Solve for x
    x = 56,375,071,749.38/294,032.50
  6. Step 6: Final answer
    x = 191,730.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.