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Finding the Fourth Proportional to 395,472.42, 592,946.19 and 277,286.94

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Solution

The fourth proportional to 395,472.42, 592,946.19 and 277,286.94 is: 415,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,472.42 : 592,946.19 = 277,286.94 : x
  2. Step 2: Convert to fraction form
    395,472.42/592,946.19 = 277,286.94/x
  3. Step 3: Cross multiply
    395,472.42x = 592,946.19 × 277,286.94
  4. Step 4: Simplify right side
    395,472.42x = 164,416,234,609.76
  5. Step 5: Solve for x
    x = 164,416,234,609.76/395,472.42
  6. Step 6: Final answer
    x = 415,746.40

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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.