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Finding the Fourth Proportional to 514,827.67, 709,674.63 and 361,435.54

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Solution

The fourth proportional to 514,827.67, 709,674.63 and 361,435.54 is: 498,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,827.67 : 709,674.63 = 361,435.54 : x
  2. Step 2: Convert to fraction form
    514,827.67/709,674.63 = 361,435.54/x
  3. Step 3: Cross multiply
    514,827.67x = 709,674.63 × 361,435.54
  4. Step 4: Simplify right side
    514,827.67x = 256,501,633,118.35
  5. Step 5: Solve for x
    x = 256,501,633,118.35/514,827.67
  6. Step 6: Final answer
    x = 498,228.14

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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.