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Finding the Fourth Proportional to 719,849.38, 993,400.06 and 414,077.62

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Solution

The fourth proportional to 719,849.38, 993,400.06 and 414,077.62 is: 571,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,849.38 : 993,400.06 = 414,077.62 : x
  2. Step 2: Convert to fraction form
    719,849.38/993,400.06 = 414,077.62/x
  3. Step 3: Cross multiply
    719,849.38x = 993,400.06 × 414,077.62
  4. Step 4: Simplify right side
    719,849.38x = 411,344,732,552.66
  5. Step 5: Solve for x
    x = 411,344,732,552.66/719,849.38
  6. Step 6: Final answer
    x = 571,431.67

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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.