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Finding the Fourth Proportional to 584,711.82, 877,098.92 and 185,383.85

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Solution

The fourth proportional to 584,711.82, 877,098.92 and 185,383.85 is: 278,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,711.82 : 877,098.92 = 185,383.85 : x
  2. Step 2: Convert to fraction form
    584,711.82/877,098.92 = 185,383.85/x
  3. Step 3: Cross multiply
    584,711.82x = 877,098.92 × 185,383.85
  4. Step 4: Simplify right side
    584,711.82x = 162,599,969,308.03
  5. Step 5: Solve for x
    x = 162,599,969,308.03/584,711.82
  6. Step 6: Final answer
    x = 278,085.65

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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.