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Finding the Fourth Proportional to 314,307.33, 433,774.38 and 193,519.32

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Solution

The fourth proportional to 314,307.33, 433,774.38 and 193,519.32 is: 267,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,307.33 : 433,774.38 = 193,519.32 : x
  2. Step 2: Convert to fraction form
    314,307.33/433,774.38 = 193,519.32/x
  3. Step 3: Cross multiply
    314,307.33x = 433,774.38 × 193,519.32
  4. Step 4: Simplify right side
    314,307.33x = 83,943,723,051.02
  5. Step 5: Solve for x
    x = 83,943,723,051.02/314,307.33
  6. Step 6: Final answer
    x = 267,075.30

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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.