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Finding the Fourth Proportional to 349,652.34, 524,465.01 and 100,334.34

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Solution

The fourth proportional to 349,652.34, 524,465.01 and 100,334.34 is: 150,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,652.34 : 524,465.01 = 100,334.34 : x
  2. Step 2: Convert to fraction form
    349,652.34/524,465.01 = 100,334.34/x
  3. Step 3: Cross multiply
    349,652.34x = 524,465.01 × 100,334.34
  4. Step 4: Simplify right side
    349,652.34x = 52,621,850,631.44
  5. Step 5: Solve for x
    x = 52,621,850,631.44/349,652.34
  6. Step 6: Final answer
    x = 150,497.64

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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.