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Finding the Fourth Proportional to 377,764.85, 564,348.38 and 270,295.67

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Solution

The fourth proportional to 377,764.85, 564,348.38 and 270,295.67 is: 403,798.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,764.85 : 564,348.38 = 270,295.67 : x
  2. Step 2: Convert to fraction form
    377,764.85/564,348.38 = 270,295.67/x
  3. Step 3: Cross multiply
    377,764.85x = 564,348.38 × 270,295.67
  4. Step 4: Simplify right side
    377,764.85x = 152,540,919,312.29
  5. Step 5: Solve for x
    x = 152,540,919,312.29/377,764.85
  6. Step 6: Final answer
    x = 403,798.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.