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Finding the Fourth Proportional to 402,762.96, 555,801.60 and 221,475.24

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Solution

The fourth proportional to 402,762.96, 555,801.60 and 221,475.24 is: 305,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,762.96 : 555,801.60 = 221,475.24 : x
  2. Step 2: Convert to fraction form
    402,762.96/555,801.60 = 221,475.24/x
  3. Step 3: Cross multiply
    402,762.96x = 555,801.60 × 221,475.24
  4. Step 4: Simplify right side
    402,762.96x = 123,096,292,752.38
  5. Step 5: Solve for x
    x = 123,096,292,752.38/402,762.96
  6. Step 6: Final answer
    x = 305,629.63

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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.