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Finding the Fourth Proportional to 242,980.80, 364,312.80 and 218,097.60

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Solution

The fourth proportional to 242,980.80, 364,312.80 and 218,097.60 is: 327,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,980.80 : 364,312.80 = 218,097.60 : x
  2. Step 2: Convert to fraction form
    242,980.80/364,312.80 = 218,097.60/x
  3. Step 3: Cross multiply
    242,980.80x = 364,312.80 × 218,097.60
  4. Step 4: Simplify right side
    242,980.80x = 79,455,747,329.28
  5. Step 5: Solve for x
    x = 79,455,747,329.28/242,980.80
  6. Step 6: Final answer
    x = 327,004.22

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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.