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Finding the Fourth Proportional to 477,106.92, 658,409.22 and 262,265.64

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Solution

The fourth proportional to 477,106.92, 658,409.22 and 262,265.64 is: 361,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,106.92 : 658,409.22 = 262,265.64 : x
  2. Step 2: Convert to fraction form
    477,106.92/658,409.22 = 262,265.64/x
  3. Step 3: Cross multiply
    477,106.92x = 658,409.22 × 262,265.64
  4. Step 4: Simplify right side
    477,106.92x = 172,678,115,465.20
  5. Step 5: Solve for x
    x = 172,678,115,465.20/477,106.92
  6. Step 6: Final answer
    x = 361,927.50

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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.