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Finding the Fourth Proportional to 398,129.12, 549,418.20 and 219,281.12

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Solution

The fourth proportional to 398,129.12, 549,418.20 and 219,281.12 is: 302,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,129.12 : 549,418.20 = 219,281.12 : x
  2. Step 2: Convert to fraction form
    398,129.12/549,418.20 = 219,281.12/x
  3. Step 3: Cross multiply
    398,129.12x = 549,418.20 × 219,281.12
  4. Step 4: Simplify right side
    398,129.12x = 120,477,038,244.38
  5. Step 5: Solve for x
    x = 120,477,038,244.38/398,129.12
  6. Step 6: Final answer
    x = 302,607.95

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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.