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Finding the Fourth Proportional to 488,613.07, 733,011.77 and 185,098.11

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Solution

The fourth proportional to 488,613.07, 733,011.77 and 185,098.11 is: 277,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,613.07 : 733,011.77 = 185,098.11 : x
  2. Step 2: Convert to fraction form
    488,613.07/733,011.77 = 185,098.11/x
  3. Step 3: Cross multiply
    488,613.07x = 733,011.77 × 185,098.11
  4. Step 4: Simplify right side
    488,613.07x = 135,679,088,644.21
  5. Step 5: Solve for x
    x = 135,679,088,644.21/488,613.07
  6. Step 6: Final answer
    x = 277,682.07

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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.