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Finding the Fourth Proportional to 784,824, 1,083,441 and 526,608.48

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Solution

The fourth proportional to 784,824, 1,083,441 and 526,608.48 is: 726,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,824 : 1,083,441 = 526,608.48 : x
  2. Step 2: Convert to fraction form
    784,824/1,083,441 = 526,608.48/x
  3. Step 3: Cross multiply
    784,824x = 1,083,441 × 526,608.48
  4. Step 4: Simplify right side
    784,824x = 570,549,218,179.68
  5. Step 5: Solve for x
    x = 570,549,218,179.68/784,824
  6. Step 6: Final answer
    x = 726,977.28

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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.