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Finding the Fourth Proportional to 471,843.90, 706,383.45 and 416,547.90

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Solution

The fourth proportional to 471,843.90, 706,383.45 and 416,547.90 is: 623,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,843.90 : 706,383.45 = 416,547.90 : x
  2. Step 2: Convert to fraction form
    471,843.90/706,383.45 = 416,547.90/x
  3. Step 3: Cross multiply
    471,843.90x = 706,383.45 × 416,547.90
  4. Step 4: Simplify right side
    471,843.90x = 294,242,542,692.26
  5. Step 5: Solve for x
    x = 294,242,542,692.26/471,843.90
  6. Step 6: Final answer
    x = 623,601.46

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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.