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Finding the Fourth Proportional to 477,664.72, 715,407.80 and 228,522.96

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Solution

The fourth proportional to 477,664.72, 715,407.80 and 228,522.96 is: 342,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,664.72 : 715,407.80 = 228,522.96 : x
  2. Step 2: Convert to fraction form
    477,664.72/715,407.80 = 228,522.96/x
  3. Step 3: Cross multiply
    477,664.72x = 715,407.80 × 228,522.96
  4. Step 4: Simplify right side
    477,664.72x = 163,487,108,063.09
  5. Step 5: Solve for x
    x = 163,487,108,063.09/477,664.72
  6. Step 6: Final answer
    x = 342,263.31

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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.