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Finding the Fourth Proportional to 451,856.76, 677,748.24 and 152,330.88

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Solution

The fourth proportional to 451,856.76, 677,748.24 and 152,330.88 is: 228,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,856.76 : 677,748.24 = 152,330.88 : x
  2. Step 2: Convert to fraction form
    451,856.76/677,748.24 = 152,330.88/x
  3. Step 3: Cross multiply
    451,856.76x = 677,748.24 × 152,330.88
  4. Step 4: Simplify right side
    451,856.76x = 103,241,985,817.65
  5. Step 5: Solve for x
    x = 103,241,985,817.65/451,856.76
  6. Step 6: Final answer
    x = 228,483.88

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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.