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Finding the Fourth Proportional to 330,774.16, 495,535.18 and 195,433.48

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Solution

The fourth proportional to 330,774.16, 495,535.18 and 195,433.48 is: 292,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,774.16 : 495,535.18 = 195,433.48 : x
  2. Step 2: Convert to fraction form
    330,774.16/495,535.18 = 195,433.48/x
  3. Step 3: Cross multiply
    330,774.16x = 495,535.18 × 195,433.48
  4. Step 4: Simplify right side
    330,774.16x = 96,844,164,689.83
  5. Step 5: Solve for x
    x = 96,844,164,689.83/330,774.16
  6. Step 6: Final answer
    x = 292,780.32

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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.