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Finding the Fourth Proportional to 1,532,188, 2,298,282 and 481,564

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Solution

The fourth proportional to 1,532,188, 2,298,282 and 481,564 is: 722,346

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532,188 : 2,298,282 = 481,564 : x
  2. Step 2: Convert to fraction form
    1,532,188/2,298,282 = 481,564/x
  3. Step 3: Cross multiply
    1,532,188x = 2,298,282 × 481,564
  4. Step 4: Simplify right side
    1,532,188x = 1,106,769,873,048
  5. Step 5: Solve for x
    x = 1,106,769,873,048/1,532,188
  6. Step 6: Final answer
    x = 722,346

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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.