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Finding the Fourth Proportional to 398,094.94, 549,386.56 and 226,028.91

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Solution

The fourth proportional to 398,094.94, 549,386.56 and 226,028.91 is: 311,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,094.94 : 549,386.56 = 226,028.91 : x
  2. Step 2: Convert to fraction form
    398,094.94/549,386.56 = 226,028.91/x
  3. Step 3: Cross multiply
    398,094.94x = 549,386.56 × 226,028.91
  4. Step 4: Simplify right side
    398,094.94x = 124,177,244,760.38
  5. Step 5: Solve for x
    x = 124,177,244,760.38/398,094.94
  6. Step 6: Final answer
    x = 311,928.72

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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.