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Finding the Fourth Proportional to 541,507.38, 747,280.36 and 296,507.66

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Solution

The fourth proportional to 541,507.38, 747,280.36 and 296,507.66 is: 409,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,507.38 : 747,280.36 = 296,507.66 : x
  2. Step 2: Convert to fraction form
    541,507.38/747,280.36 = 296,507.66/x
  3. Step 3: Cross multiply
    541,507.38x = 747,280.36 × 296,507.66
  4. Step 4: Simplify right side
    541,507.38x = 221,574,355,103.50
  5. Step 5: Solve for x
    x = 221,574,355,103.50/541,507.38
  6. Step 6: Final answer
    x = 409,180.67

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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.