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Finding the Fourth Proportional to 314,068.26, 433,374.84 and 212,315.13

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Solution

The fourth proportional to 314,068.26, 433,374.84 and 212,315.13 is: 292,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,068.26 : 433,374.84 = 212,315.13 : x
  2. Step 2: Convert to fraction form
    314,068.26/433,374.84 = 212,315.13/x
  3. Step 3: Cross multiply
    314,068.26x = 433,374.84 × 212,315.13
  4. Step 4: Simplify right side
    314,068.26x = 92,012,035,493.33
  5. Step 5: Solve for x
    x = 92,012,035,493.33/314,068.26
  6. Step 6: Final answer
    x = 292,968.27

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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.