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Finding the Fourth Proportional to 398,128, 549,416.64 and 219,280

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Solution

The fourth proportional to 398,128, 549,416.64 and 219,280 is: 302,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,128 : 549,416.64 = 219,280 : x
  2. Step 2: Convert to fraction form
    398,128/549,416.64 = 219,280/x
  3. Step 3: Cross multiply
    398,128x = 549,416.64 × 219,280
  4. Step 4: Simplify right side
    398,128x = 120,476,080,819.20
  5. Step 5: Solve for x
    x = 120,476,080,819.20/398,128
  6. Step 6: Final answer
    x = 302,606.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.