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Finding the Fourth Proportional to 446,174.47, 615,731.47 and 242,233.98

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Solution

The fourth proportional to 446,174.47, 615,731.47 and 242,233.98 is: 334,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,174.47 : 615,731.47 = 242,233.98 : x
  2. Step 2: Convert to fraction form
    446,174.47/615,731.47 = 242,233.98/x
  3. Step 3: Cross multiply
    446,174.47x = 615,731.47 × 242,233.98
  4. Step 4: Simplify right side
    446,174.47x = 149,151,084,589.35
  5. Step 5: Solve for x
    x = 149,151,084,589.35/446,174.47
  6. Step 6: Final answer
    x = 334,288.70

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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.