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Finding the Fourth Proportional to 511,466.11, 705,684.76 and 290,700.34

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Solution

The fourth proportional to 511,466.11, 705,684.76 and 290,700.34 is: 401,087.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,466.11 : 705,684.76 = 290,700.34 : x
  2. Step 2: Convert to fraction form
    511,466.11/705,684.76 = 290,700.34/x
  3. Step 3: Cross multiply
    511,466.11x = 705,684.76 × 290,700.34
  4. Step 4: Simplify right side
    511,466.11x = 205,142,799,664.82
  5. Step 5: Solve for x
    x = 205,142,799,664.82/511,466.11
  6. Step 6: Final answer
    x = 401,087.77

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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.