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Finding the Fourth Proportional to 397,935.81, 549,162.05 and 216,655.38

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Solution

The fourth proportional to 397,935.81, 549,162.05 and 216,655.38 is: 298,990.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,935.81 : 549,162.05 = 216,655.38 : x
  2. Step 2: Convert to fraction form
    397,935.81/549,162.05 = 216,655.38/x
  3. Step 3: Cross multiply
    397,935.81x = 549,162.05 × 216,655.38
  4. Step 4: Simplify right side
    397,935.81x = 118,978,911,541.05
  5. Step 5: Solve for x
    x = 118,978,911,541.05/397,935.81
  6. Step 6: Final answer
    x = 298,990.21

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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.