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Finding the Fourth Proportional to 514,358.38, 709,731.88 and 323,236.46

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Solution

The fourth proportional to 514,358.38, 709,731.88 and 323,236.46 is: 446,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,358.38 : 709,731.88 = 323,236.46 : x
  2. Step 2: Convert to fraction form
    514,358.38/709,731.88 = 323,236.46/x
  3. Step 3: Cross multiply
    514,358.38x = 709,731.88 × 323,236.46
  4. Step 4: Simplify right side
    514,358.38x = 229,411,220,440.35
  5. Step 5: Solve for x
    x = 229,411,220,440.35/514,358.38
  6. Step 6: Final answer
    x = 446,014.35

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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.