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Finding the Fourth Proportional to 381,319.33, 525,210.52 and 284,211.98

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Solution

The fourth proportional to 381,319.33, 525,210.52 and 284,211.98 is: 391,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,319.33 : 525,210.52 = 284,211.98 : x
  2. Step 2: Convert to fraction form
    381,319.33/525,210.52 = 284,211.98/x
  3. Step 3: Cross multiply
    381,319.33x = 525,210.52 × 284,211.98
  4. Step 4: Simplify right side
    381,319.33x = 149,271,120,971.88
  5. Step 5: Solve for x
    x = 149,271,120,971.88/381,319.33
  6. Step 6: Final answer
    x = 391,459.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.