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Finding the Fourth Proportional to 460,071.59, 689,770.50 and 216,829.80

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Solution

The fourth proportional to 460,071.59, 689,770.50 and 216,829.80 is: 325,085.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,071.59 : 689,770.50 = 216,829.80 : x
  2. Step 2: Convert to fraction form
    460,071.59/689,770.50 = 216,829.80/x
  3. Step 3: Cross multiply
    460,071.59x = 689,770.50 × 216,829.80
  4. Step 4: Simplify right side
    460,071.59x = 149,562,799,560.90
  5. Step 5: Solve for x
    x = 149,562,799,560.90/460,071.59
  6. Step 6: Final answer
    x = 325,085.93

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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.