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Finding the Fourth Proportional to 514,108.70, 709,369.19 and 323,011.38

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Solution

The fourth proportional to 514,108.70, 709,369.19 and 323,011.38 is: 445,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,108.70 : 709,369.19 = 323,011.38 : x
  2. Step 2: Convert to fraction form
    514,108.70/709,369.19 = 323,011.38/x
  3. Step 3: Cross multiply
    514,108.70x = 709,369.19 × 323,011.38
  4. Step 4: Simplify right side
    514,108.70x = 229,134,317,927.48
  5. Step 5: Solve for x
    x = 229,134,317,927.48/514,108.70
  6. Step 6: Final answer
    x = 445,692.35

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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.