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Finding the Fourth Proportional to 416,153.40, 623,999.70 and 135,526.20

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Solution

The fourth proportional to 416,153.40, 623,999.70 and 135,526.20 is: 203,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,153.40 : 623,999.70 = 135,526.20 : x
  2. Step 2: Convert to fraction form
    416,153.40/623,999.70 = 135,526.20/x
  3. Step 3: Cross multiply
    416,153.40x = 623,999.70 × 135,526.20
  4. Step 4: Simplify right side
    416,153.40x = 84,568,308,142.14
  5. Step 5: Solve for x
    x = 84,568,308,142.14/416,153.40
  6. Step 6: Final answer
    x = 203,214.27

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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.