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Finding the Fourth Proportional to 770,301, 1,062,995.40 and 426,149.64

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Solution

The fourth proportional to 770,301, 1,062,995.40 and 426,149.64 is: 588,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,301 : 1,062,995.40 = 426,149.64 : x
  2. Step 2: Convert to fraction form
    770,301/1,062,995.40 = 426,149.64/x
  3. Step 3: Cross multiply
    770,301x = 1,062,995.40 × 426,149.64
  4. Step 4: Simplify right side
    770,301x = 452,995,107,031.66
  5. Step 5: Solve for x
    x = 452,995,107,031.66/770,301
  6. Step 6: Final answer
    x = 588,075.45

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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.