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Finding the Fourth Proportional to 511,464.36, 705,682.35 and 290,698.59

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Solution

The fourth proportional to 511,464.36, 705,682.35 and 290,698.59 is: 401,085.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,464.36 : 705,682.35 = 290,698.59 : x
  2. Step 2: Convert to fraction form
    511,464.36/705,682.35 = 290,698.59/x
  3. Step 3: Cross multiply
    511,464.36x = 705,682.35 × 290,698.59
  4. Step 4: Simplify right side
    511,464.36x = 205,140,864,132.89
  5. Step 5: Solve for x
    x = 205,140,864,132.89/511,464.36
  6. Step 6: Final answer
    x = 401,085.35

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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.