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Finding the Fourth Proportional to 477,051.60, 658,343.28 and 262,197.12

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Solution

The fourth proportional to 477,051.60, 658,343.28 and 262,197.12 is: 361,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,051.60 : 658,343.28 = 262,197.12 : x
  2. Step 2: Convert to fraction form
    477,051.60/658,343.28 = 262,197.12/x
  3. Step 3: Cross multiply
    477,051.60x = 658,343.28 × 262,197.12
  4. Step 4: Simplify right side
    477,051.60x = 172,615,711,987.35
  5. Step 5: Solve for x
    x = 172,615,711,987.35/477,051.60
  6. Step 6: Final answer
    x = 361,838.66

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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.