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Finding the Fourth Proportional to 402,743.52, 555,662.92 and 264,883.16

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Solution

The fourth proportional to 402,743.52, 555,662.92 and 264,883.16 is: 365,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,743.52 : 555,662.92 = 264,883.16 : x
  2. Step 2: Convert to fraction form
    402,743.52/555,662.92 = 264,883.16/x
  3. Step 3: Cross multiply
    402,743.52x = 555,662.92 × 264,883.16
  4. Step 4: Simplify right side
    402,743.52x = 147,185,750,144.43
  5. Step 5: Solve for x
    x = 147,185,750,144.43/402,743.52
  6. Step 6: Final answer
    x = 365,457.77

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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.