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Finding the Fourth Proportional to 315,031.94, 472,013.31 and 190,110.50

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Solution

The fourth proportional to 315,031.94, 472,013.31 and 190,110.50 is: 284,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,031.94 : 472,013.31 = 190,110.50 : x
  2. Step 2: Convert to fraction form
    315,031.94/472,013.31 = 190,110.50/x
  3. Step 3: Cross multiply
    315,031.94x = 472,013.31 × 190,110.50
  4. Step 4: Simplify right side
    315,031.94x = 89,734,686,370.76
  5. Step 5: Solve for x
    x = 89,734,686,370.76/315,031.94
  6. Step 6: Final answer
    x = 284,843.14

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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.