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Finding the Fourth Proportional to 841,214.90, 1,160,894.13 and 459,257.78

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Solution

The fourth proportional to 841,214.90, 1,160,894.13 and 459,257.78 is: 633,785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,214.90 : 1,160,894.13 = 459,257.78 : x
  2. Step 2: Convert to fraction form
    841,214.90/1,160,894.13 = 459,257.78/x
  3. Step 3: Cross multiply
    841,214.90x = 1,160,894.13 × 459,257.78
  4. Step 4: Simplify right side
    841,214.90x = 533,149,660,958.83
  5. Step 5: Solve for x
    x = 533,149,660,958.83/841,214.90
  6. Step 6: Final answer
    x = 633,785.33

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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.