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Finding the Fourth Proportional to 533,568.06, 736,347.54 and 307,286.46

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Solution

The fourth proportional to 533,568.06, 736,347.54 and 307,286.46 is: 424,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,568.06 : 736,347.54 = 307,286.46 : x
  2. Step 2: Convert to fraction form
    533,568.06/736,347.54 = 307,286.46/x
  3. Step 3: Cross multiply
    533,568.06x = 736,347.54 × 307,286.46
  4. Step 4: Simplify right side
    533,568.06x = 226,269,628,896.31
  5. Step 5: Solve for x
    x = 226,269,628,896.31/533,568.06
  6. Step 6: Final answer
    x = 424,068.92

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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.