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Finding the Fourth Proportional to 364,803.88, 546,374.70 and 298,144.36

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Solution

The fourth proportional to 364,803.88, 546,374.70 and 298,144.36 is: 446,537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,803.88 : 546,374.70 = 298,144.36 : x
  2. Step 2: Convert to fraction form
    364,803.88/546,374.70 = 298,144.36/x
  3. Step 3: Cross multiply
    364,803.88x = 546,374.70 × 298,144.36
  4. Step 4: Simplify right side
    364,803.88x = 162,898,535,251.69
  5. Step 5: Solve for x
    x = 162,898,535,251.69/364,803.88
  6. Step 6: Final answer
    x = 446,537.29

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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.