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Finding the Fourth Proportional to 398,284.52, 549,632.40 and 219,436.52

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Solution

The fourth proportional to 398,284.52, 549,632.40 and 219,436.52 is: 302,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,284.52 : 549,632.40 = 219,436.52 : x
  2. Step 2: Convert to fraction form
    398,284.52/549,632.40 = 219,436.52/x
  3. Step 3: Cross multiply
    398,284.52x = 549,632.40 × 219,436.52
  4. Step 4: Simplify right side
    398,284.52x = 120,609,421,135.25
  5. Step 5: Solve for x
    x = 120,609,421,135.25/398,284.52
  6. Step 6: Final answer
    x = 302,822.27

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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.