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Finding the Fourth Proportional to 533,568.36, 736,284.42 and 291,838.44

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Solution

The fourth proportional to 533,568.36, 736,284.42 and 291,838.44 is: 402,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,568.36 : 736,284.42 = 291,838.44 : x
  2. Step 2: Convert to fraction form
    533,568.36/736,284.42 = 291,838.44/x
  3. Step 3: Cross multiply
    533,568.36x = 736,284.42 × 291,838.44
  4. Step 4: Simplify right side
    533,568.36x = 214,876,096,529.11
  5. Step 5: Solve for x
    x = 214,876,096,529.11/533,568.36
  6. Step 6: Final answer
    x = 402,715.21

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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.