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Finding the Fourth Proportional to 477,055.60, 658,348.80 and 262,201.12

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Solution

The fourth proportional to 477,055.60, 658,348.80 and 262,201.12 is: 361,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,055.60 : 658,348.80 = 262,201.12 : x
  2. Step 2: Convert to fraction form
    477,055.60/658,348.80 = 262,201.12/x
  3. Step 3: Cross multiply
    477,055.60x = 658,348.80 × 262,201.12
  4. Step 4: Simplify right side
    477,055.60x = 172,619,792,710.66
  5. Step 5: Solve for x
    x = 172,619,792,710.66/477,055.60
  6. Step 6: Final answer
    x = 361,844.18

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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.