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Finding the Fourth Proportional to 514,446.10, 709,699.26 and 333,218.50

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Solution

The fourth proportional to 514,446.10, 709,699.26 and 333,218.50 is: 459,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,446.10 : 709,699.26 = 333,218.50 : x
  2. Step 2: Convert to fraction form
    514,446.10/709,699.26 = 333,218.50/x
  3. Step 3: Cross multiply
    514,446.10x = 709,699.26 × 333,218.50
  4. Step 4: Simplify right side
    514,446.10x = 236,484,922,868.31
  5. Step 5: Solve for x
    x = 236,484,922,868.31/514,446.10
  6. Step 6: Final answer
    x = 459,688.44

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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.