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Finding the Fourth Proportional to 477,207.64, 658,537.80 and 262,345.76

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Solution

The fourth proportional to 477,207.64, 658,537.80 and 262,345.76 is: 362,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,207.64 : 658,537.80 = 262,345.76 : x
  2. Step 2: Convert to fraction form
    477,207.64/658,537.80 = 262,345.76/x
  3. Step 3: Cross multiply
    477,207.64x = 658,537.80 × 262,345.76
  4. Step 4: Simplify right side
    477,207.64x = 172,764,599,629.73
  5. Step 5: Solve for x
    x = 172,764,599,629.73/477,207.64
  6. Step 6: Final answer
    x = 362,032.34

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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.