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Finding the Fourth Proportional to 540,313.26, 810,469.89 and 207,811.50

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Solution

The fourth proportional to 540,313.26, 810,469.89 and 207,811.50 is: 311,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,313.26 : 810,469.89 = 207,811.50 : x
  2. Step 2: Convert to fraction form
    540,313.26/810,469.89 = 207,811.50/x
  3. Step 3: Cross multiply
    540,313.26x = 810,469.89 × 207,811.50
  4. Step 4: Simplify right side
    540,313.26x = 168,424,963,545.74
  5. Step 5: Solve for x
    x = 168,424,963,545.74/540,313.26
  6. Step 6: Final answer
    x = 311,717.25

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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.