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Finding the Fourth Proportional to 549,818.08, 824,468.32 and 213,016.43

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Solution

The fourth proportional to 549,818.08, 824,468.32 and 213,016.43 is: 319,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,818.08 : 824,468.32 = 213,016.43 : x
  2. Step 2: Convert to fraction form
    549,818.08/824,468.32 = 213,016.43/x
  3. Step 3: Cross multiply
    549,818.08x = 824,468.32 × 213,016.43
  4. Step 4: Simplify right side
    549,818.08x = 175,625,300,501.94
  5. Step 5: Solve for x
    x = 175,625,300,501.94/549,818.08
  6. Step 6: Final answer
    x = 319,424.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.