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Finding the Fourth Proportional to 321,364.10, 482,564.55 and 242,567.30

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Solution

The fourth proportional to 321,364.10, 482,564.55 and 242,567.30 is: 364,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,364.10 : 482,564.55 = 242,567.30 : x
  2. Step 2: Convert to fraction form
    321,364.10/482,564.55 = 242,567.30/x
  3. Step 3: Cross multiply
    321,364.10x = 482,564.55 × 242,567.30
  4. Step 4: Simplify right side
    321,364.10x = 117,054,379,969.22
  5. Step 5: Solve for x
    x = 117,054,379,969.22/321,364.10
  6. Step 6: Final answer
    x = 364,242.24

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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.