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Finding the Fourth Proportional to 769,544, 1,061,967.44 and 430,012.24

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Solution

The fourth proportional to 769,544, 1,061,967.44 and 430,012.24 is: 593,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,544 : 1,061,967.44 = 430,012.24 : x
  2. Step 2: Convert to fraction form
    769,544/1,061,967.44 = 430,012.24/x
  3. Step 3: Cross multiply
    769,544x = 1,061,967.44 × 430,012.24
  4. Step 4: Simplify right side
    769,544x = 456,658,997,681.47
  5. Step 5: Solve for x
    x = 456,658,997,681.47/769,544
  6. Step 6: Final answer
    x = 593,415.06

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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.