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Finding the Fourth Proportional to 477,664.22, 715,407.05 and 228,522.46

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Solution

The fourth proportional to 477,664.22, 715,407.05 and 228,522.46 is: 342,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,664.22 : 715,407.05 = 228,522.46 : x
  2. Step 2: Convert to fraction form
    477,664.22/715,407.05 = 228,522.46/x
  3. Step 3: Cross multiply
    477,664.22x = 715,407.05 × 228,522.46
  4. Step 4: Simplify right side
    477,664.22x = 163,486,578,967.34
  5. Step 5: Solve for x
    x = 163,486,578,967.34/477,664.22
  6. Step 6: Final answer
    x = 342,262.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.