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Finding the Fourth Proportional to 314,790.28, 472,324.85 and 164,994.96

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Solution

The fourth proportional to 314,790.28, 472,324.85 and 164,994.96 is: 247,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,790.28 : 472,324.85 = 164,994.96 : x
  2. Step 2: Convert to fraction form
    314,790.28/472,324.85 = 164,994.96/x
  3. Step 3: Cross multiply
    314,790.28x = 472,324.85 × 164,994.96
  4. Step 4: Simplify right side
    314,790.28x = 77,931,219,732.76
  5. Step 5: Solve for x
    x = 77,931,219,732.76/314,790.28
  6. Step 6: Final answer
    x = 247,565.52

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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.