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Finding the Fourth Proportional to 477,749.94, 659,298.05 and 262,884.48

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Solution

The fourth proportional to 477,749.94, 659,298.05 and 262,884.48 is: 362,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,749.94 : 659,298.05 = 262,884.48 : x
  2. Step 2: Convert to fraction form
    477,749.94/659,298.05 = 262,884.48/x
  3. Step 3: Cross multiply
    477,749.94x = 659,298.05 × 262,884.48
  4. Step 4: Simplify right side
    477,749.94x = 173,319,225,039.26
  5. Step 5: Solve for x
    x = 173,319,225,039.26/477,749.94
  6. Step 6: Final answer
    x = 362,782.31

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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.