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Finding the Fourth Proportional to 516,948.50, 775,422.75 and 142,971.50

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Solution

The fourth proportional to 516,948.50, 775,422.75 and 142,971.50 is: 214,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,948.50 : 775,422.75 = 142,971.50 : x
  2. Step 2: Convert to fraction form
    516,948.50/775,422.75 = 142,971.50/x
  3. Step 3: Cross multiply
    516,948.50x = 775,422.75 × 142,971.50
  4. Step 4: Simplify right side
    516,948.50x = 110,863,353,701.63
  5. Step 5: Solve for x
    x = 110,863,353,701.63/516,948.50
  6. Step 6: Final answer
    x = 214,457.25

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