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Finding the Fourth Proportional to 477,762.48, 659,314.56 and 262,897.20

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Solution

The fourth proportional to 477,762.48, 659,314.56 and 262,897.20 is: 362,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,762.48 : 659,314.56 = 262,897.20 : x
  2. Step 2: Convert to fraction form
    477,762.48/659,314.56 = 262,897.20/x
  3. Step 3: Cross multiply
    477,762.48x = 659,314.56 × 262,897.20
  4. Step 4: Simplify right side
    477,762.48x = 173,331,951,743.23
  5. Step 5: Solve for x
    x = 173,331,951,743.23/477,762.48
  6. Step 6: Final answer
    x = 362,799.42

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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.