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Finding the Fourth Proportional to 330,086.64, 495,050.28 and 152,422.86

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Solution

The fourth proportional to 330,086.64, 495,050.28 and 152,422.86 is: 228,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,086.64 : 495,050.28 = 152,422.86 : x
  2. Step 2: Convert to fraction form
    330,086.64/495,050.28 = 152,422.86/x
  3. Step 3: Cross multiply
    330,086.64x = 495,050.28 × 152,422.86
  4. Step 4: Simplify right side
    330,086.64x = 75,456,979,521.40
  5. Step 5: Solve for x
    x = 75,456,979,521.40/330,086.64
  6. Step 6: Final answer
    x = 228,597.50

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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.