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Finding the Fourth Proportional to 769,770, 1,062,315.41 and 430,238.25

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Solution

The fourth proportional to 769,770, 1,062,315.41 and 430,238.25 is: 593,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,770 : 1,062,315.41 = 430,238.25 : x
  2. Step 2: Convert to fraction form
    769,770/1,062,315.41 = 430,238.25/x
  3. Step 3: Cross multiply
    769,770x = 1,062,315.41 × 430,238.25
  4. Step 4: Simplify right side
    769,770x = 457,048,720,795.24
  5. Step 5: Solve for x
    x = 457,048,720,795.24/769,770
  6. Step 6: Final answer
    x = 593,747.12

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1.5x scale

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.