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Finding the Fourth Proportional to 536,805.68, 805,009.26 and 157,622

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Solution

The fourth proportional to 536,805.68, 805,009.26 and 157,622 is: 236,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,805.68 : 805,009.26 = 157,622 : x
  2. Step 2: Convert to fraction form
    536,805.68/805,009.26 = 157,622/x
  3. Step 3: Cross multiply
    536,805.68x = 805,009.26 × 157,622
  4. Step 4: Simplify right side
    536,805.68x = 126,887,169,579.72
  5. Step 5: Solve for x
    x = 126,887,169,579.72/536,805.68
  6. Step 6: Final answer
    x = 236,374.49

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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.