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Finding the Fourth Proportional to 290,232.84, 435,473.98 and 150,089.88

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Solution

The fourth proportional to 290,232.84, 435,473.98 and 150,089.88 is: 225,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,232.84 : 435,473.98 = 150,089.88 : x
  2. Step 2: Convert to fraction form
    290,232.84/435,473.98 = 150,089.88/x
  3. Step 3: Cross multiply
    290,232.84x = 435,473.98 × 150,089.88
  4. Step 4: Simplify right side
    290,232.84x = 65,360,237,401.32
  5. Step 5: Solve for x
    x = 65,360,237,401.32/290,232.84
  6. Step 6: Final answer
    x = 225,199.32

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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.