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Finding the Fourth Proportional to 549,101.30, 822,777.15 and 407,383.70

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Solution

The fourth proportional to 549,101.30, 822,777.15 and 407,383.70 is: 610,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,101.30 : 822,777.15 = 407,383.70 : x
  2. Step 2: Convert to fraction form
    549,101.30/822,777.15 = 407,383.70/x
  3. Step 3: Cross multiply
    549,101.30x = 822,777.15 × 407,383.70
  4. Step 4: Simplify right side
    549,101.30x = 335,185,999,642.46
  5. Step 5: Solve for x
    x = 335,185,999,642.46/549,101.30
  6. Step 6: Final answer
    x = 610,426.53

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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.