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Finding the Fourth Proportional to 563,943.58, 778,242.32 and 305,820.45

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Solution

The fourth proportional to 563,943.58, 778,242.32 and 305,820.45 is: 422,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,943.58 : 778,242.32 = 305,820.45 : x
  2. Step 2: Convert to fraction form
    563,943.58/778,242.32 = 305,820.45/x
  3. Step 3: Cross multiply
    563,943.58x = 778,242.32 × 305,820.45
  4. Step 4: Simplify right side
    563,943.58x = 238,002,418,457.05
  5. Step 5: Solve for x
    x = 238,002,418,457.05/563,943.58
  6. Step 6: Final answer
    x = 422,032.32

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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.