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Finding the Fourth Proportional to 562,285.50, 843,429.06 and 229,861.50

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Solution

The fourth proportional to 562,285.50, 843,429.06 and 229,861.50 is: 344,792.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,285.50 : 843,429.06 = 229,861.50 : x
  2. Step 2: Convert to fraction form
    562,285.50/843,429.06 = 229,861.50/x
  3. Step 3: Cross multiply
    562,285.50x = 843,429.06 × 229,861.50
  4. Step 4: Simplify right side
    562,285.50x = 193,871,868,875.19
  5. Step 5: Solve for x
    x = 193,871,868,875.19/562,285.50
  6. Step 6: Final answer
    x = 344,792.58

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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.