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Finding the Fourth Proportional to 514,214.57, 771,613.50 and 277,552.01

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Solution

The fourth proportional to 514,214.57, 771,613.50 and 277,552.01 is: 416,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,214.57 : 771,613.50 = 277,552.01 : x
  2. Step 2: Convert to fraction form
    514,214.57/771,613.50 = 277,552.01/x
  3. Step 3: Cross multiply
    514,214.57x = 771,613.50 × 277,552.01
  4. Step 4: Simplify right side
    514,214.57x = 214,162,877,868.14
  5. Step 5: Solve for x
    x = 214,162,877,868.14/514,214.57
  6. Step 6: Final answer
    x = 416,485.43

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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.