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Finding the Fourth Proportional to 514,236.94, 709,411.50 and 333,007.23

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Solution

The fourth proportional to 514,236.94, 709,411.50 and 333,007.23 is: 459,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,236.94 : 709,411.50 = 333,007.23 : x
  2. Step 2: Convert to fraction form
    514,236.94/709,411.50 = 333,007.23/x
  3. Step 3: Cross multiply
    514,236.94x = 709,411.50 × 333,007.23
  4. Step 4: Simplify right side
    514,236.94x = 236,239,161,205.44
  5. Step 5: Solve for x
    x = 236,239,161,205.44/514,236.94
  6. Step 6: Final answer
    x = 459,397.50

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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.