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Finding the Fourth Proportional to 514,209.17, 771,811.30 and 248,156.98

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Solution

The fourth proportional to 514,209.17, 771,811.30 and 248,156.98 is: 372,475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,209.17 : 771,811.30 = 248,156.98 : x
  2. Step 2: Convert to fraction form
    514,209.17/771,811.30 = 248,156.98/x
  3. Step 3: Cross multiply
    514,209.17x = 771,811.30 × 248,156.98
  4. Step 4: Simplify right side
    514,209.17x = 191,530,361,337.87
  5. Step 5: Solve for x
    x = 191,530,361,337.87/514,209.17
  6. Step 6: Final answer
    x = 372,475.58

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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.