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Finding the Fourth Proportional to 514,354.50, 709,645.20 and 333,205.32

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Solution

The fourth proportional to 514,354.50, 709,645.20 and 333,205.32 is: 459,717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,354.50 : 709,645.20 = 333,205.32 : x
  2. Step 2: Convert to fraction form
    514,354.50/709,645.20 = 333,205.32/x
  3. Step 3: Cross multiply
    514,354.50x = 709,645.20 × 333,205.32
  4. Step 4: Simplify right side
    514,354.50x = 236,457,555,952.46
  5. Step 5: Solve for x
    x = 236,457,555,952.46/514,354.50
  6. Step 6: Final answer
    x = 459,717.09

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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.