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Finding the Fourth Proportional to 511,411.63, 706,050.78 and 454,666.27

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Solution

The fourth proportional to 511,411.63, 706,050.78 and 454,666.27 is: 627,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,411.63 : 706,050.78 = 454,666.27 : x
  2. Step 2: Convert to fraction form
    511,411.63/706,050.78 = 454,666.27/x
  3. Step 3: Cross multiply
    511,411.63x = 706,050.78 × 454,666.27
  4. Step 4: Simplify right side
    511,411.63x = 321,017,471,042.94
  5. Step 5: Solve for x
    x = 321,017,471,042.94/511,411.63
  6. Step 6: Final answer
    x = 627,708.59

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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.