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Finding the Fourth Proportional to 511,835.16, 706,104 and 296,850.72

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Solution

The fourth proportional to 511,835.16, 706,104 and 296,850.72 is: 409,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,835.16 : 706,104 = 296,850.72 : x
  2. Step 2: Convert to fraction form
    511,835.16/706,104 = 296,850.72/x
  3. Step 3: Cross multiply
    511,835.16x = 706,104 × 296,850.72
  4. Step 4: Simplify right side
    511,835.16x = 209,607,480,794.88
  5. Step 5: Solve for x
    x = 209,607,480,794.88/511,835.16
  6. Step 6: Final answer
    x = 409,521.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.