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Finding the Fourth Proportional to 297,075, 444,496.50 and 208,501.32

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Solution

The fourth proportional to 297,075, 444,496.50 and 208,501.32 is: 311,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,075 : 444,496.50 = 208,501.32 : x
  2. Step 2: Convert to fraction form
    297,075/444,496.50 = 208,501.32/x
  3. Step 3: Cross multiply
    297,075x = 444,496.50 × 208,501.32
  4. Step 4: Simplify right side
    297,075x = 92,678,106,985.38
  5. Step 5: Solve for x
    x = 92,678,106,985.38/297,075
  6. Step 6: Final answer
    x = 311,968.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.