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Finding the Fourth Proportional to 330,038.58, 495,164.49 and 152,661.95

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Solution

The fourth proportional to 330,038.58, 495,164.49 and 152,661.95 is: 229,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,038.58 : 495,164.49 = 152,661.95 : x
  2. Step 2: Convert to fraction form
    330,038.58/495,164.49 = 152,661.95/x
  3. Step 3: Cross multiply
    330,038.58x = 495,164.49 × 152,661.95
  4. Step 4: Simplify right side
    330,038.58x = 75,592,773,375.02
  5. Step 5: Solve for x
    x = 75,592,773,375.02/330,038.58
  6. Step 6: Final answer
    x = 229,042.23

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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.