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Finding the Fourth Proportional to 395,245.98, 592,869.78 and 185,031.54

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Solution

The fourth proportional to 395,245.98, 592,869.78 and 185,031.54 is: 277,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,245.98 : 592,869.78 = 185,031.54 : x
  2. Step 2: Convert to fraction form
    395,245.98/592,869.78 = 185,031.54/x
  3. Step 3: Cross multiply
    395,245.98x = 592,869.78 × 185,031.54
  4. Step 4: Simplify right side
    395,245.98x = 109,699,608,412.86
  5. Step 5: Solve for x
    x = 109,699,608,412.86/395,245.98
  6. Step 6: Final answer
    x = 277,547.69

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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.