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Finding the Fourth Proportional to 471,863.40, 706,412.70 and 416,567.40

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Solution

The fourth proportional to 471,863.40, 706,412.70 and 416,567.40 is: 623,630.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,863.40 : 706,412.70 = 416,567.40 : x
  2. Step 2: Convert to fraction form
    471,863.40/706,412.70 = 416,567.40/x
  3. Step 3: Cross multiply
    471,863.40x = 706,412.70 × 416,567.40
  4. Step 4: Simplify right side
    471,863.40x = 294,268,501,765.98
  5. Step 5: Solve for x
    x = 294,268,501,765.98/471,863.40
  6. Step 6: Final answer
    x = 623,630.70

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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.