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Finding the Fourth Proportional to 536,833, 740,843.72 and 291,834.24

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Solution

The fourth proportional to 536,833, 740,843.72 and 291,834.24 is: 402,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,833 : 740,843.72 = 291,834.24 : x
  2. Step 2: Convert to fraction form
    536,833/740,843.72 = 291,834.24/x
  3. Step 3: Cross multiply
    536,833x = 740,843.72 × 291,834.24
  4. Step 4: Simplify right side
    536,833x = 216,203,563,984.97
  5. Step 5: Solve for x
    x = 216,203,563,984.97/536,833
  6. Step 6: Final answer
    x = 402,738.96

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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.