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Finding the Fourth Proportional to 524,175.84, 786,259.44 and 150,199.20

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Solution

The fourth proportional to 524,175.84, 786,259.44 and 150,199.20 is: 225,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,175.84 : 786,259.44 = 150,199.20 : x
  2. Step 2: Convert to fraction form
    524,175.84/786,259.44 = 150,199.20/x
  3. Step 3: Cross multiply
    524,175.84x = 786,259.44 × 150,199.20
  4. Step 4: Simplify right side
    524,175.84x = 118,095,538,880.45
  5. Step 5: Solve for x
    x = 118,095,538,880.45/524,175.84
  6. Step 6: Final answer
    x = 225,297.56

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1.5x scale

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.