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Finding the Fourth Proportional to 364,064.40, 546,096.60 and 238,093.20

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Solution

The fourth proportional to 364,064.40, 546,096.60 and 238,093.20 is: 357,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,064.40 : 546,096.60 = 238,093.20 : x
  2. Step 2: Convert to fraction form
    364,064.40/546,096.60 = 238,093.20/x
  3. Step 3: Cross multiply
    364,064.40x = 546,096.60 × 238,093.20
  4. Step 4: Simplify right side
    364,064.40x = 130,021,887,003.12
  5. Step 5: Solve for x
    x = 130,021,887,003.12/364,064.40
  6. Step 6: Final answer
    x = 357,139.80

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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.