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Finding the Fourth Proportional to 398,394.63, 549,770.63 and 217,102.86

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Solution

The fourth proportional to 398,394.63, 549,770.63 and 217,102.86 is: 299,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,394.63 : 549,770.63 = 217,102.86 : x
  2. Step 2: Convert to fraction form
    398,394.63/549,770.63 = 217,102.86/x
  3. Step 3: Cross multiply
    398,394.63x = 549,770.63 × 217,102.86
  4. Step 4: Simplify right side
    398,394.63x = 119,356,775,031.49
  5. Step 5: Solve for x
    x = 119,356,775,031.49/398,394.63
  6. Step 6: Final answer
    x = 299,594.34

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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.