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Finding the Fourth Proportional to 650,361.10, 975,878.01 and 471,917.71

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Solution

The fourth proportional to 650,361.10, 975,878.01 and 471,917.71 is: 708,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,361.10 : 975,878.01 = 471,917.71 : x
  2. Step 2: Convert to fraction form
    650,361.10/975,878.01 = 471,917.71/x
  3. Step 3: Cross multiply
    650,361.10x = 975,878.01 × 471,917.71
  4. Step 4: Simplify right side
    650,361.10x = 460,534,115,718.56
  5. Step 5: Solve for x
    x = 460,534,115,718.56/650,361.10
  6. Step 6: Final answer
    x = 708,120.64

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Why These Related Problems?

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