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Finding the Fourth Proportional to 295,938.64, 408,420.34 and 181,216.72

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Solution

The fourth proportional to 295,938.64, 408,420.34 and 181,216.72 is: 250,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,938.64 : 408,420.34 = 181,216.72 : x
  2. Step 2: Convert to fraction form
    295,938.64/408,420.34 = 181,216.72/x
  3. Step 3: Cross multiply
    295,938.64x = 408,420.34 × 181,216.72
  4. Step 4: Simplify right side
    295,938.64x = 74,012,595,472.91
  5. Step 5: Solve for x
    x = 74,012,595,472.91/295,938.64
  6. Step 6: Final answer
    x = 250,094.40

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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.