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Finding the Fourth Proportional to 397,070.16, 548,084.52 and 254,214.96

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Solution

The fourth proportional to 397,070.16, 548,084.52 and 254,214.96 is: 350,898.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,070.16 : 548,084.52 = 254,214.96 : x
  2. Step 2: Convert to fraction form
    397,070.16/548,084.52 = 254,214.96/x
  3. Step 3: Cross multiply
    397,070.16x = 548,084.52 × 254,214.96
  4. Step 4: Simplify right side
    397,070.16x = 139,331,284,328.42
  5. Step 5: Solve for x
    x = 139,331,284,328.42/397,070.16
  6. Step 6: Final answer
    x = 350,898.40

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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.