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Finding the Fourth Proportional to 328,234.40, 492,416.40 and 276,005.60

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Solution

The fourth proportional to 328,234.40, 492,416.40 and 276,005.60 is: 414,062.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,234.40 : 492,416.40 = 276,005.60 : x
  2. Step 2: Convert to fraction form
    328,234.40/492,416.40 = 276,005.60/x
  3. Step 3: Cross multiply
    328,234.40x = 492,416.40 × 276,005.60
  4. Step 4: Simplify right side
    328,234.40x = 135,909,683,931.84
  5. Step 5: Solve for x
    x = 135,909,683,931.84/328,234.40
  6. Step 6: Final answer
    x = 414,062.89

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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.