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Finding the Fourth Proportional to 563,083.12, 777,055.04 and 308,438.56

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Solution

The fourth proportional to 563,083.12, 777,055.04 and 308,438.56 is: 425,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,083.12 : 777,055.04 = 308,438.56 : x
  2. Step 2: Convert to fraction form
    563,083.12/777,055.04 = 308,438.56/x
  3. Step 3: Cross multiply
    563,083.12x = 777,055.04 × 308,438.56
  4. Step 4: Simplify right side
    563,083.12x = 239,673,736,036.15
  5. Step 5: Solve for x
    x = 239,673,736,036.15/563,083.12
  6. Step 6: Final answer
    x = 425,645.39

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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.