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Finding the Fourth Proportional to 511,646.66, 767,214.36 and 298,487.84

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Solution

The fourth proportional to 511,646.66, 767,214.36 and 298,487.84 is: 447,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,646.66 : 767,214.36 = 298,487.84 : x
  2. Step 2: Convert to fraction form
    511,646.66/767,214.36 = 298,487.84/x
  3. Step 3: Cross multiply
    511,646.66x = 767,214.36 × 298,487.84
  4. Step 4: Simplify right side
    511,646.66x = 229,004,157,133.38
  5. Step 5: Solve for x
    x = 229,004,157,133.38/511,646.66
  6. Step 6: Final answer
    x = 447,582.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.