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Finding the Fourth Proportional to 364,048.80, 546,073.20 and 301,840.80

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Solution

The fourth proportional to 364,048.80, 546,073.20 and 301,840.80 is: 452,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,048.80 : 546,073.20 = 301,840.80 : x
  2. Step 2: Convert to fraction form
    364,048.80/546,073.20 = 301,840.80/x
  3. Step 3: Cross multiply
    364,048.80x = 546,073.20 × 301,840.80
  4. Step 4: Simplify right side
    364,048.80x = 164,827,171,546.56
  5. Step 5: Solve for x
    x = 164,827,171,546.56/364,048.80
  6. Step 6: Final answer
    x = 452,761.20

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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.