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Finding the Fourth Proportional to 736,249.50, 1,103,782.14 and 416,203.92

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Solution

The fourth proportional to 736,249.50, 1,103,782.14 and 416,203.92 is: 623,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,249.50 : 1,103,782.14 = 416,203.92 : x
  2. Step 2: Convert to fraction form
    736,249.50/1,103,782.14 = 416,203.92/x
  3. Step 3: Cross multiply
    736,249.50x = 1,103,782.14 × 416,203.92
  4. Step 4: Simplify right side
    736,249.50x = 459,398,453,493.99
  5. Step 5: Solve for x
    x = 459,398,453,493.99/736,249.50
  6. Step 6: Final answer
    x = 623,971.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.