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Finding the Fourth Proportional to 398,213.60, 549,534.76 and 219,365.60

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Solution

The fourth proportional to 398,213.60, 549,534.76 and 219,365.60 is: 302,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,213.60 : 549,534.76 = 219,365.60 : x
  2. Step 2: Convert to fraction form
    398,213.60/549,534.76 = 219,365.60/x
  3. Step 3: Cross multiply
    398,213.60x = 549,534.76 × 219,365.60
  4. Step 4: Simplify right side
    398,213.60x = 120,549,022,348.26
  5. Step 5: Solve for x
    x = 120,549,022,348.26/398,213.60
  6. Step 6: Final answer
    x = 302,724.52

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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.