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Finding the Fourth Proportional to 397,851.64, 549,047.64 and 216,575.64

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Solution

The fourth proportional to 397,851.64, 549,047.64 and 216,575.64 is: 298,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,851.64 : 549,047.64 = 216,575.64 : x
  2. Step 2: Convert to fraction form
    397,851.64/549,047.64 = 216,575.64/x
  3. Step 3: Cross multiply
    397,851.64x = 549,047.64 × 216,575.64
  4. Step 4: Simplify right side
    397,851.64x = 118,910,344,023.49
  5. Step 5: Solve for x
    x = 118,910,344,023.49/397,851.64
  6. Step 6: Final answer
    x = 298,881.12

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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.