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Finding the Fourth Proportional to 536,189.87, 739,954.91 and 294,477.67

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Solution

The fourth proportional to 536,189.87, 739,954.91 and 294,477.67 is: 406,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,189.87 : 739,954.91 = 294,477.67 : x
  2. Step 2: Convert to fraction form
    536,189.87/739,954.91 = 294,477.67/x
  3. Step 3: Cross multiply
    536,189.87x = 739,954.91 × 294,477.67
  4. Step 4: Simplify right side
    536,189.87x = 217,900,197,801.86
  5. Step 5: Solve for x
    x = 217,900,197,801.86/536,189.87
  6. Step 6: Final answer
    x = 406,386.26

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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.