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Finding the Fourth Proportional to 511,465.11, 705,683.39 and 290,699.34

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Solution

The fourth proportional to 511,465.11, 705,683.39 and 290,699.34 is: 401,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,465.11 : 705,683.39 = 290,699.34 : x
  2. Step 2: Convert to fraction form
    511,465.11/705,683.39 = 290,699.34/x
  3. Step 3: Cross multiply
    511,465.11x = 705,683.39 × 290,699.34
  4. Step 4: Simplify right side
    511,465.11x = 205,141,694,268.47
  5. Step 5: Solve for x
    x = 205,141,694,268.47/511,465.11
  6. Step 6: Final answer
    x = 401,086.39

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1.5x scale

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.