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Finding the Fourth Proportional to 314,075.40, 433,431.18 and 170,843.10

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Solution

The fourth proportional to 314,075.40, 433,431.18 and 170,843.10 is: 235,767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,075.40 : 433,431.18 = 170,843.10 : x
  2. Step 2: Convert to fraction form
    314,075.40/433,431.18 = 170,843.10/x
  3. Step 3: Cross multiply
    314,075.40x = 433,431.18 × 170,843.10
  4. Step 4: Simplify right side
    314,075.40x = 74,048,726,427.86
  5. Step 5: Solve for x
    x = 74,048,726,427.86/314,075.40
  6. Step 6: Final answer
    x = 235,767.36

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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.