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Finding the Fourth Proportional to 326,056.40, 489,084.60 and 314,246.60

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Solution

The fourth proportional to 326,056.40, 489,084.60 and 314,246.60 is: 471,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,056.40 : 489,084.60 = 314,246.60 : x
  2. Step 2: Convert to fraction form
    326,056.40/489,084.60 = 314,246.60/x
  3. Step 3: Cross multiply
    326,056.40x = 489,084.60 × 314,246.60
  4. Step 4: Simplify right side
    326,056.40x = 153,693,172,662.36
  5. Step 5: Solve for x
    x = 153,693,172,662.36/326,056.40
  6. Step 6: Final answer
    x = 471,369.90

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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.