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Finding the Fourth Proportional to 575,815, 794,410.50 and 333,961.96

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Solution

The fourth proportional to 575,815, 794,410.50 and 333,961.96 is: 460,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,815 : 794,410.50 = 333,961.96 : x
  2. Step 2: Convert to fraction form
    575,815/794,410.50 = 333,961.96/x
  3. Step 3: Cross multiply
    575,815x = 794,410.50 × 333,961.96
  4. Step 4: Simplify right side
    575,815x = 265,302,887,624.58
  5. Step 5: Solve for x
    x = 265,302,887,624.58/575,815
  6. Step 6: Final answer
    x = 460,743.27

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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.