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Finding the Fourth Proportional to 434,878.56, 652,311.36 and 150,776.16

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Solution

The fourth proportional to 434,878.56, 652,311.36 and 150,776.16 is: 226,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,878.56 : 652,311.36 = 150,776.16 : x
  2. Step 2: Convert to fraction form
    434,878.56/652,311.36 = 150,776.16/x
  3. Step 3: Cross multiply
    434,878.56x = 652,311.36 × 150,776.16
  4. Step 4: Simplify right side
    434,878.56x = 98,353,001,985.18
  5. Step 5: Solve for x
    x = 98,353,001,985.18/434,878.56
  6. Step 6: Final answer
    x = 226,161.99

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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.