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Finding the Fourth Proportional to 364,176.50, 546,361.95 and 114,858.50

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Solution

The fourth proportional to 364,176.50, 546,361.95 and 114,858.50 is: 172,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,176.50 : 546,361.95 = 114,858.50 : x
  2. Step 2: Convert to fraction form
    364,176.50/546,361.95 = 114,858.50/x
  3. Step 3: Cross multiply
    364,176.50x = 546,361.95 × 114,858.50
  4. Step 4: Simplify right side
    364,176.50x = 62,754,314,034.08
  5. Step 5: Solve for x
    x = 62,754,314,034.08/364,176.50
  6. Step 6: Final answer
    x = 172,318.41

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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.