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Finding the Fourth Proportional to 477,581.34, 659,041.47 and 262,707.78

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Solution

The fourth proportional to 477,581.34, 659,041.47 and 262,707.78 is: 362,525.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,581.34 : 659,041.47 = 262,707.78 : x
  2. Step 2: Convert to fraction form
    477,581.34/659,041.47 = 262,707.78/x
  3. Step 3: Cross multiply
    477,581.34x = 659,041.47 × 262,707.78
  4. Step 4: Simplify right side
    477,581.34x = 173,135,321,511.64
  5. Step 5: Solve for x
    x = 173,135,321,511.64/477,581.34
  6. Step 6: Final answer
    x = 362,525.31

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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.