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Finding the Fourth Proportional to 532,863.92, 735,329.40 and 291,142.64

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Solution

The fourth proportional to 532,863.92, 735,329.40 and 291,142.64 is: 401,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,863.92 : 735,329.40 = 291,142.64 : x
  2. Step 2: Convert to fraction form
    532,863.92/735,329.40 = 291,142.64/x
  3. Step 3: Cross multiply
    532,863.92x = 735,329.40 × 291,142.64
  4. Step 4: Simplify right side
    532,863.92x = 214,085,742,785.62
  5. Step 5: Solve for x
    x = 214,085,742,785.62/532,863.92
  6. Step 6: Final answer
    x = 401,764.38

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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.