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Finding the Fourth Proportional to 382,762.78, 574,176.58 and 116,525.50

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Solution

The fourth proportional to 382,762.78, 574,176.58 and 116,525.50 is: 174,798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,762.78 : 574,176.58 = 116,525.50 : x
  2. Step 2: Convert to fraction form
    382,762.78/574,176.58 = 116,525.50/x
  3. Step 3: Cross multiply
    382,762.78x = 574,176.58 × 116,525.50
  4. Step 4: Simplify right side
    382,762.78x = 66,906,213,072.79
  5. Step 5: Solve for x
    x = 66,906,213,072.79/382,762.78
  6. Step 6: Final answer
    x = 174,798.12

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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.