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Finding the Fourth Proportional to 290,522.61, 434,846.48 and 150,088.05

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Solution

The fourth proportional to 290,522.61, 434,846.48 and 150,088.05 is: 224,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,522.61 : 434,846.48 = 150,088.05 : x
  2. Step 2: Convert to fraction form
    290,522.61/434,846.48 = 150,088.05/x
  3. Step 3: Cross multiply
    290,522.61x = 434,846.48 × 150,088.05
  4. Step 4: Simplify right side
    290,522.61x = 65,265,259,482.12
  5. Step 5: Solve for x
    x = 65,265,259,482.12/290,522.61
  6. Step 6: Final answer
    x = 224,647.78

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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.