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Finding the Fourth Proportional to 511,774.94, 706,021.04 and 296,790.41

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Solution

The fourth proportional to 511,774.94, 706,021.04 and 296,790.41 is: 409,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,774.94 : 706,021.04 = 296,790.41 : x
  2. Step 2: Convert to fraction form
    511,774.94/706,021.04 = 296,790.41/x
  3. Step 3: Cross multiply
    511,774.94x = 706,021.04 × 296,790.41
  4. Step 4: Simplify right side
    511,774.94x = 209,540,276,437.26
  5. Step 5: Solve for x
    x = 209,540,276,437.26/511,774.94
  6. Step 6: Final answer
    x = 409,438.33

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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.