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Finding the Fourth Proportional to 264,312.30, 396,468.45 and 152,337.90

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Solution

The fourth proportional to 264,312.30, 396,468.45 and 152,337.90 is: 228,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,312.30 : 396,468.45 = 152,337.90 : x
  2. Step 2: Convert to fraction form
    264,312.30/396,468.45 = 152,337.90/x
  3. Step 3: Cross multiply
    264,312.30x = 396,468.45 × 152,337.90
  4. Step 4: Simplify right side
    264,312.30x = 60,397,171,089.26
  5. Step 5: Solve for x
    x = 60,397,171,089.26/264,312.30
  6. Step 6: Final answer
    x = 228,506.85

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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.