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Finding the Fourth Proportional to 446,047.50, 615,546.23 and 242,098.50

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Solution

The fourth proportional to 446,047.50, 615,546.23 and 242,098.50 is: 334,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,047.50 : 615,546.23 = 242,098.50 : x
  2. Step 2: Convert to fraction form
    446,047.50/615,546.23 = 242,098.50/x
  3. Step 3: Cross multiply
    446,047.50x = 615,546.23 × 242,098.50
  4. Step 4: Simplify right side
    446,047.50x = 149,022,818,963.66
  5. Step 5: Solve for x
    x = 149,022,818,963.66/446,047.50
  6. Step 6: Final answer
    x = 334,096.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.