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Finding the Fourth Proportional to 413,616.16, 620,477.70 and 147,453.40

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Solution

The fourth proportional to 413,616.16, 620,477.70 and 147,453.40 is: 221,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,616.16 : 620,477.70 = 147,453.40 : x
  2. Step 2: Convert to fraction form
    413,616.16/620,477.70 = 147,453.40/x
  3. Step 3: Cross multiply
    413,616.16x = 620,477.70 × 147,453.40
  4. Step 4: Simplify right side
    413,616.16x = 91,491,546,489.18
  5. Step 5: Solve for x
    x = 91,491,546,489.18/413,616.16
  6. Step 6: Final answer
    x = 221,199.16

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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.