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Finding the Fourth Proportional to 298,102.42, 446,405.84 and 178,085.32

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Solution

The fourth proportional to 298,102.42, 446,405.84 and 178,085.32 is: 266,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,102.42 : 446,405.84 = 178,085.32 : x
  2. Step 2: Convert to fraction form
    298,102.42/446,405.84 = 178,085.32/x
  3. Step 3: Cross multiply
    298,102.42x = 446,405.84 × 178,085.32
  4. Step 4: Simplify right side
    298,102.42x = 79,498,326,866.27
  5. Step 5: Solve for x
    x = 79,498,326,866.27/298,102.42
  6. Step 6: Final answer
    x = 266,681.25

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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.