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Finding the Fourth Proportional to 537,998.60, 807,113.10 and 164,059.40

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Solution

The fourth proportional to 537,998.60, 807,113.10 and 164,059.40 is: 246,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,998.60 : 807,113.10 = 164,059.40 : x
  2. Step 2: Convert to fraction form
    537,998.60/807,113.10 = 164,059.40/x
  3. Step 3: Cross multiply
    537,998.60x = 807,113.10 × 164,059.40
  4. Step 4: Simplify right side
    537,998.60x = 132,414,490,918.14
  5. Step 5: Solve for x
    x = 132,414,490,918.14/537,998.60
  6. Step 6: Final answer
    x = 246,124.23

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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.