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Finding the Fourth Proportional to 584,052.53, 806,164.85 and 342,387.41

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Solution

The fourth proportional to 584,052.53, 806,164.85 and 342,387.41 is: 472,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,052.53 : 806,164.85 = 342,387.41 : x
  2. Step 2: Convert to fraction form
    584,052.53/806,164.85 = 342,387.41/x
  3. Step 3: Cross multiply
    584,052.53x = 806,164.85 × 342,387.41
  4. Step 4: Simplify right side
    584,052.53x = 276,020,691,849.68
  5. Step 5: Solve for x
    x = 276,020,691,849.68/584,052.53
  6. Step 6: Final answer
    x = 472,595.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.