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Finding the Fourth Proportional to 564,147.80, 778,544.14 and 309,506.36

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Solution

The fourth proportional to 564,147.80, 778,544.14 and 309,506.36 is: 427,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,147.80 : 778,544.14 = 309,506.36 : x
  2. Step 2: Convert to fraction form
    564,147.80/778,544.14 = 309,506.36/x
  3. Step 3: Cross multiply
    564,147.80x = 778,544.14 × 309,506.36
  4. Step 4: Simplify right side
    564,147.80x = 240,964,362,870.73
  5. Step 5: Solve for x
    x = 240,964,362,870.73/564,147.80
  6. Step 6: Final answer
    x = 427,129.85

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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.