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Finding the Fourth Proportional to 562,318.50, 775,192.33 and 400,893.30

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Solution

The fourth proportional to 562,318.50, 775,192.33 and 400,893.30 is: 552,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,318.50 : 775,192.33 = 400,893.30 : x
  2. Step 2: Convert to fraction form
    562,318.50/775,192.33 = 400,893.30/x
  3. Step 3: Cross multiply
    562,318.50x = 775,192.33 × 400,893.30
  4. Step 4: Simplify right side
    562,318.50x = 310,769,409,554.48
  5. Step 5: Solve for x
    x = 310,769,409,554.48/562,318.50
  6. Step 6: Final answer
    x = 552,657.27

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Why These Related Problems?

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