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Finding the Fourth Proportional to 364,003.80, 546,329.70 and 214,056.60

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Solution

The fourth proportional to 364,003.80, 546,329.70 and 214,056.60 is: 321,275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,003.80 : 546,329.70 = 214,056.60 : x
  2. Step 2: Convert to fraction form
    364,003.80/546,329.70 = 214,056.60/x
  3. Step 3: Cross multiply
    364,003.80x = 546,329.70 × 214,056.60
  4. Step 4: Simplify right side
    364,003.80x = 116,945,478,061.02
  5. Step 5: Solve for x
    x = 116,945,478,061.02/364,003.80
  6. Step 6: Final answer
    x = 321,275.43

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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.