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Finding the Fourth Proportional to 315,943.66, 473,915.50 and 105,581.60

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Solution

The fourth proportional to 315,943.66, 473,915.50 and 105,581.60 is: 158,372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,943.66 : 473,915.50 = 105,581.60 : x
  2. Step 2: Convert to fraction form
    315,943.66/473,915.50 = 105,581.60/x
  3. Step 3: Cross multiply
    315,943.66x = 473,915.50 × 105,581.60
  4. Step 4: Simplify right side
    315,943.66x = 50,036,757,231.34
  5. Step 5: Solve for x
    x = 50,036,757,231.34/315,943.66
  6. Step 6: Final answer
    x = 158,372.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.