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Finding the Fourth Proportional to 402,741.48, 555,797.50 and 221,467.16

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Solution

The fourth proportional to 402,741.48, 555,797.50 and 221,467.16 is: 305,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,741.48 : 555,797.50 = 221,467.16 : x
  2. Step 2: Convert to fraction form
    402,741.48/555,797.50 = 221,467.16/x
  3. Step 3: Cross multiply
    402,741.48x = 555,797.50 × 221,467.16
  4. Step 4: Simplify right side
    402,741.48x = 123,090,893,860.10
  5. Step 5: Solve for x
    x = 123,090,893,860.10/402,741.48
  6. Step 6: Final answer
    x = 305,632.52

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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.