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Finding the Fourth Proportional to 1,509,852, 2,265,127.92 and 512,580

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Solution

The fourth proportional to 1,509,852, 2,265,127.92 and 512,580 is: 768,988.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,852 : 2,265,127.92 = 512,580 : x
  2. Step 2: Convert to fraction form
    1,509,852/2,265,127.92 = 512,580/x
  3. Step 3: Cross multiply
    1,509,852x = 2,265,127.92 × 512,580
  4. Step 4: Simplify right side
    1,509,852x = 1,161,059,269,233.60
  5. Step 5: Solve for x
    x = 1,161,059,269,233.60/1,509,852
  6. Step 6: Final answer
    x = 768,988.79

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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.