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Finding the Fourth Proportional to 719,908.72, 993,666.18 and 414,018.52

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Solution

The fourth proportional to 719,908.72, 993,666.18 and 414,018.52 is: 571,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,908.72 : 993,666.18 = 414,018.52 : x
  2. Step 2: Convert to fraction form
    719,908.72/993,666.18 = 414,018.52/x
  3. Step 3: Cross multiply
    719,908.72x = 993,666.18 × 414,018.52
  4. Step 4: Simplify right side
    719,908.72x = 411,396,201,217.65
  5. Step 5: Solve for x
    x = 411,396,201,217.65/719,908.72
  6. Step 6: Final answer
    x = 571,456.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.