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Finding the Fourth Proportional to 514,516.95, 771,775.79 and 214,834.23

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Solution

The fourth proportional to 514,516.95, 771,775.79 and 214,834.23 is: 322,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,516.95 : 771,775.79 = 214,834.23 : x
  2. Step 2: Convert to fraction form
    514,516.95/771,775.79 = 214,834.23/x
  3. Step 3: Cross multiply
    514,516.95x = 771,775.79 × 214,834.23
  4. Step 4: Simplify right side
    514,516.95x = 165,803,856,503.12
  5. Step 5: Solve for x
    x = 165,803,856,503.12/514,516.95
  6. Step 6: Final answer
    x = 322,251.50

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Similar ratio
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1.5x scale

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.