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Finding the Fourth Proportional to 270,722.01, 405,946.31 and 158,435.96

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Solution

The fourth proportional to 270,722.01, 405,946.31 and 158,435.96 is: 237,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,722.01 : 405,946.31 = 158,435.96 : x
  2. Step 2: Convert to fraction form
    270,722.01/405,946.31 = 158,435.96/x
  3. Step 3: Cross multiply
    270,722.01x = 405,946.31 × 158,435.96
  4. Step 4: Simplify right side
    270,722.01x = 64,316,490,511.40
  5. Step 5: Solve for x
    x = 64,316,490,511.40/270,722.01
  6. Step 6: Final answer
    x = 237,573.93

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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.