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Finding the Fourth Proportional to 645,565, 890,879.70 and 362,941

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Solution

The fourth proportional to 645,565, 890,879.70 and 362,941 is: 500,858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,565 : 890,879.70 = 362,941 : x
  2. Step 2: Convert to fraction form
    645,565/890,879.70 = 362,941/x
  3. Step 3: Cross multiply
    645,565x = 890,879.70 × 362,941
  4. Step 4: Simplify right side
    645,565x = 323,336,769,197.70
  5. Step 5: Solve for x
    x = 323,336,769,197.70/645,565
  6. Step 6: Final answer
    x = 500,858.58

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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.