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Finding the Fourth Proportional to 477,143.20, 715,714.80 and 228,311.20

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Solution

The fourth proportional to 477,143.20, 715,714.80 and 228,311.20 is: 342,466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,143.20 : 715,714.80 = 228,311.20 : x
  2. Step 2: Convert to fraction form
    477,143.20/715,714.80 = 228,311.20/x
  3. Step 3: Cross multiply
    477,143.20x = 715,714.80 × 228,311.20
  4. Step 4: Simplify right side
    477,143.20x = 163,405,704,845.76
  5. Step 5: Solve for x
    x = 163,405,704,845.76/477,143.20
  6. Step 6: Final answer
    x = 342,466.80

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Similar ratio
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1.5x scale

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.