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Finding the Fourth Proportional to 354,232.16, 488,892.48 and 233,354.24

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Solution

The fourth proportional to 354,232.16, 488,892.48 and 233,354.24 is: 322,063.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,232.16 : 488,892.48 = 233,354.24 : x
  2. Step 2: Convert to fraction form
    354,232.16/488,892.48 = 233,354.24/x
  3. Step 3: Cross multiply
    354,232.16x = 488,892.48 × 233,354.24
  4. Step 4: Simplify right side
    354,232.16x = 114,085,133,112.12
  5. Step 5: Solve for x
    x = 114,085,133,112.12/354,232.16
  6. Step 6: Final answer
    x = 322,063.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.