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Finding the Fourth Proportional to 922,398.58, 1,383,524 and 410,222.30

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Solution

The fourth proportional to 922,398.58, 1,383,524 and 410,222.30 is: 615,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,398.58 : 1,383,524 = 410,222.30 : x
  2. Step 2: Convert to fraction form
    922,398.58/1,383,524 = 410,222.30/x
  3. Step 3: Cross multiply
    922,398.58x = 1,383,524 × 410,222.30
  4. Step 4: Simplify right side
    922,398.58x = 567,552,397,385.20
  5. Step 5: Solve for x
    x = 567,552,397,385.20/922,398.58
  6. Step 6: Final answer
    x = 615,300.60

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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.