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Finding the Fourth Proportional to 514,111.70, 709,373.33 and 323,014.38

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Solution

The fourth proportional to 514,111.70, 709,373.33 and 323,014.38 is: 445,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,111.70 : 709,373.33 = 323,014.38 : x
  2. Step 2: Convert to fraction form
    514,111.70/709,373.33 = 323,014.38/x
  3. Step 3: Cross multiply
    514,111.70x = 709,373.33 × 323,014.38
  4. Step 4: Simplify right side
    514,111.70x = 229,137,783,314.57
  5. Step 5: Solve for x
    x = 229,137,783,314.57/514,111.70
  6. Step 6: Final answer
    x = 445,696.49

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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.