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Finding the Fourth Proportional to 514,262.14, 709,446.09 and 333,032.47

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Solution

The fourth proportional to 514,262.14, 709,446.09 and 333,032.47 is: 459,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,262.14 : 709,446.09 = 333,032.47 : x
  2. Step 2: Convert to fraction form
    514,262.14/709,446.09 = 333,032.47/x
  3. Step 3: Cross multiply
    514,262.14x = 709,446.09 × 333,032.47
  4. Step 4: Simplify right side
    514,262.14x = 236,268,583,684.54
  5. Step 5: Solve for x
    x = 236,268,583,684.54/514,262.14
  6. Step 6: Final answer
    x = 459,432.19

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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.