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Finding the Fourth Proportional to 446,012.14, 615,474.30 and 264,731.98

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Solution

The fourth proportional to 446,012.14, 615,474.30 and 264,731.98 is: 365,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,012.14 : 615,474.30 = 264,731.98 : x
  2. Step 2: Convert to fraction form
    446,012.14/615,474.30 = 264,731.98/x
  3. Step 3: Cross multiply
    446,012.14x = 615,474.30 × 264,731.98
  4. Step 4: Simplify right side
    446,012.14x = 162,935,730,078.11
  5. Step 5: Solve for x
    x = 162,935,730,078.11/446,012.14
  6. Step 6: Final answer
    x = 365,316.81

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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.