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Finding the Fourth Proportional to 290,706.32, 436,055.16 and 80,339.60

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Solution

The fourth proportional to 290,706.32, 436,055.16 and 80,339.60 is: 120,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,706.32 : 436,055.16 = 80,339.60 : x
  2. Step 2: Convert to fraction form
    290,706.32/436,055.16 = 80,339.60/x
  3. Step 3: Cross multiply
    290,706.32x = 436,055.16 × 80,339.60
  4. Step 4: Simplify right side
    290,706.32x = 35,032,497,132.34
  5. Step 5: Solve for x
    x = 35,032,497,132.34/290,706.32
  6. Step 6: Final answer
    x = 120,508.21

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Why These Related Problems?

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