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Finding the Fourth Proportional to 563,954.63, 778,263.41 and 305,832.06

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Solution

The fourth proportional to 563,954.63, 778,263.41 and 305,832.06 is: 422,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,954.63 : 778,263.41 = 305,832.06 : x
  2. Step 2: Convert to fraction form
    563,954.63/778,263.41 = 305,832.06/x
  3. Step 3: Cross multiply
    563,954.63x = 778,263.41 × 305,832.06
  4. Step 4: Simplify right side
    563,954.63x = 238,017,902,667.51
  5. Step 5: Solve for x
    x = 238,017,902,667.51/563,954.63
  6. Step 6: Final answer
    x = 422,051.51

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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.