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Finding the Fourth Proportional to 514,263.14, 709,447.47 and 333,033.47

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Solution

The fourth proportional to 514,263.14, 709,447.47 and 333,033.47 is: 459,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,263.14 : 709,447.47 = 333,033.47 : x
  2. Step 2: Convert to fraction form
    514,263.14/709,447.47 = 333,033.47/x
  3. Step 3: Cross multiply
    514,263.14x = 709,447.47 × 333,033.47
  4. Step 4: Simplify right side
    514,263.14x = 236,269,752,716.82
  5. Step 5: Solve for x
    x = 236,269,752,716.82/514,263.14
  6. Step 6: Final answer
    x = 459,433.57

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1.5x scale

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.