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Finding the Fourth Proportional to 398,415.82, 549,813.84 and 219,567.82

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Solution

The fourth proportional to 398,415.82, 549,813.84 and 219,567.82 is: 303,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,415.82 : 549,813.84 = 219,567.82 : x
  2. Step 2: Convert to fraction form
    398,415.82/549,813.84 = 219,567.82/x
  3. Step 3: Cross multiply
    398,415.82x = 549,813.84 × 219,567.82
  4. Step 4: Simplify right side
    398,415.82x = 120,721,426,254.63
  5. Step 5: Solve for x
    x = 120,721,426,254.63/398,415.82
  6. Step 6: Final answer
    x = 303,003.60

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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.