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Finding the Fourth Proportional to 514,372.60, 709,669.38 and 333,224.20

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Solution

The fourth proportional to 514,372.60, 709,669.38 and 333,224.20 is: 459,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,372.60 : 709,669.38 = 333,224.20 : x
  2. Step 2: Convert to fraction form
    514,372.60/709,669.38 = 333,224.20/x
  3. Step 3: Cross multiply
    514,372.60x = 709,669.38 × 333,224.20
  4. Step 4: Simplify right side
    514,372.60x = 236,479,011,415.00
  5. Step 5: Solve for x
    x = 236,479,011,415.00/514,372.60
  6. Step 6: Final answer
    x = 459,742.63

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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.