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Finding the Fourth Proportional to 309,253.12, 463,693.44 and 168,816.64

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Solution

The fourth proportional to 309,253.12, 463,693.44 and 168,816.64 is: 253,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,253.12 : 463,693.44 = 168,816.64 : x
  2. Step 2: Convert to fraction form
    309,253.12/463,693.44 = 168,816.64/x
  3. Step 3: Cross multiply
    309,253.12x = 463,693.44 × 168,816.64
  4. Step 4: Simplify right side
    309,253.12x = 78,279,168,530.84
  5. Step 5: Solve for x
    x = 78,279,168,530.84/309,253.12
  6. Step 6: Final answer
    x = 253,123.29

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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.