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Finding the Fourth Proportional to 242,968.80, 364,294.80 and 218,085.60

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Solution

The fourth proportional to 242,968.80, 364,294.80 and 218,085.60 is: 326,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,968.80 : 364,294.80 = 218,085.60 : x
  2. Step 2: Convert to fraction form
    242,968.80/364,294.80 = 218,085.60/x
  3. Step 3: Cross multiply
    242,968.80x = 364,294.80 × 218,085.60
  4. Step 4: Simplify right side
    242,968.80x = 79,447,450,034.88
  5. Step 5: Solve for x
    x = 79,447,450,034.88/242,968.80
  6. Step 6: Final answer
    x = 326,986.22

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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.