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Finding the Fourth Proportional to 354,272.16, 488,947.68 and 233,394.24

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Solution

The fourth proportional to 354,272.16, 488,947.68 and 233,394.24 is: 322,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,272.16 : 488,947.68 = 233,394.24 : x
  2. Step 2: Convert to fraction form
    354,272.16/488,947.68 = 233,394.24/x
  3. Step 3: Cross multiply
    354,272.16x = 488,947.68 × 233,394.24
  4. Step 4: Simplify right side
    354,272.16x = 114,117,572,173.36
  5. Step 5: Solve for x
    x = 114,117,572,173.36/354,272.16
  6. Step 6: Final answer
    x = 322,118.37

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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.