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Finding the Fourth Proportional to 330,322, 495,507.72 and 93,683.74

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Solution

The fourth proportional to 330,322, 495,507.72 and 93,683.74 is: 140,532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,322 : 495,507.72 = 93,683.74 : x
  2. Step 2: Convert to fraction form
    330,322/495,507.72 = 93,683.74/x
  3. Step 3: Cross multiply
    330,322x = 495,507.72 × 93,683.74
  4. Step 4: Simplify right side
    330,322x = 46,421,016,408.47
  5. Step 5: Solve for x
    x = 46,421,016,408.47/330,322
  6. Step 6: Final answer
    x = 140,532.62

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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.