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Finding the Fourth Proportional to 514,339.25, 709,624.14 and 333,190.04

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Solution

The fourth proportional to 514,339.25, 709,624.14 and 333,190.04 is: 459,696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,339.25 : 709,624.14 = 333,190.04 : x
  2. Step 2: Convert to fraction form
    514,339.25/709,624.14 = 333,190.04/x
  3. Step 3: Cross multiply
    514,339.25x = 709,624.14 × 333,190.04
  4. Step 4: Simplify right side
    514,339.25x = 236,439,695,591.57
  5. Step 5: Solve for x
    x = 236,439,695,591.57/514,339.25
  6. Step 6: Final answer
    x = 459,696.00

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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.