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Finding the Fourth Proportional to 467,725.20, 702,106.20 and 290,432.40

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Solution

The fourth proportional to 467,725.20, 702,106.20 and 290,432.40 is: 435,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,725.20 : 702,106.20 = 290,432.40 : x
  2. Step 2: Convert to fraction form
    467,725.20/702,106.20 = 290,432.40/x
  3. Step 3: Cross multiply
    467,725.20x = 702,106.20 × 290,432.40
  4. Step 4: Simplify right side
    467,725.20x = 203,914,388,720.88
  5. Step 5: Solve for x
    x = 203,914,388,720.88/467,725.20
  6. Step 6: Final answer
    x = 435,970.50

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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.