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Finding the Fourth Proportional to 400,075.20, 552,156 and 230,316.48

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Solution

The fourth proportional to 400,075.20, 552,156 and 230,316.48 is: 317,866.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,075.20 : 552,156 = 230,316.48 : x
  2. Step 2: Convert to fraction form
    400,075.20/552,156 = 230,316.48/x
  3. Step 3: Cross multiply
    400,075.20x = 552,156 × 230,316.48
  4. Step 4: Simplify right side
    400,075.20x = 127,170,626,330.88
  5. Step 5: Solve for x
    x = 127,170,626,330.88/400,075.20
  6. Step 6: Final answer
    x = 317,866.81

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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.