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Finding the Fourth Proportional to 314,580.04, 433,972.04 and 212,641.09

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Solution

The fourth proportional to 314,580.04, 433,972.04 and 212,641.09 is: 293,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,580.04 : 433,972.04 = 212,641.09 : x
  2. Step 2: Convert to fraction form
    314,580.04/433,972.04 = 212,641.09/x
  3. Step 3: Cross multiply
    314,580.04x = 433,972.04 × 212,641.09
  4. Step 4: Simplify right side
    314,580.04x = 92,280,287,615.12
  5. Step 5: Solve for x
    x = 92,280,287,615.12/314,580.04
  6. Step 6: Final answer
    x = 293,344.38

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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.