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Finding the Fourth Proportional to 514,313.69, 770,735.45 and 289,201.66

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Solution

The fourth proportional to 514,313.69, 770,735.45 and 289,201.66 is: 433,389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,313.69 : 770,735.45 = 289,201.66 : x
  2. Step 2: Convert to fraction form
    514,313.69/770,735.45 = 289,201.66/x
  3. Step 3: Cross multiply
    514,313.69x = 770,735.45 × 289,201.66
  4. Step 4: Simplify right side
    514,313.69x = 222,897,970,357.01
  5. Step 5: Solve for x
    x = 222,897,970,357.01/514,313.69
  6. Step 6: Final answer
    x = 433,389.15

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1.5x scale

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.