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Finding the Fourth Proportional to 514,168.83, 771,548.42 and 401,532.93

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Solution

The fourth proportional to 514,168.83, 771,548.42 and 401,532.93 is: 602,529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,168.83 : 771,548.42 = 401,532.93 : x
  2. Step 2: Convert to fraction form
    514,168.83/771,548.42 = 401,532.93/x
  3. Step 3: Cross multiply
    514,168.83x = 771,548.42 × 401,532.93
  4. Step 4: Simplify right side
    514,168.83x = 309,802,098,723.30
  5. Step 5: Solve for x
    x = 309,802,098,723.30/514,168.83
  6. Step 6: Final answer
    x = 602,529.91

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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.