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Finding the Fourth Proportional to 489,322.90, 733,984.35 and 427,114.90

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Solution

The fourth proportional to 489,322.90, 733,984.35 and 427,114.90 is: 640,672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,322.90 : 733,984.35 = 427,114.90 : x
  2. Step 2: Convert to fraction form
    489,322.90/733,984.35 = 427,114.90/x
  3. Step 3: Cross multiply
    489,322.90x = 733,984.35 × 427,114.90
  4. Step 4: Simplify right side
    489,322.90x = 313,495,652,251.82
  5. Step 5: Solve for x
    x = 313,495,652,251.82/489,322.90
  6. Step 6: Final answer
    x = 640,672.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.