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Finding the Fourth Proportional to 413,970.52, 620,513.68 and 236,094.52

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Solution

The fourth proportional to 413,970.52, 620,513.68 and 236,094.52 is: 353,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,970.52 : 620,513.68 = 236,094.52 : x
  2. Step 2: Convert to fraction form
    413,970.52/620,513.68 = 236,094.52/x
  3. Step 3: Cross multiply
    413,970.52x = 620,513.68 × 236,094.52
  4. Step 4: Simplify right side
    413,970.52x = 146,499,879,433.03
  5. Step 5: Solve for x
    x = 146,499,879,433.03/413,970.52
  6. Step 6: Final answer
    x = 353,889.64

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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.