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Finding the Fourth Proportional to 360,825.77, 497,947.68 and 233,722.59

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Solution

The fourth proportional to 360,825.77, 497,947.68 and 233,722.59 is: 322,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,825.77 : 497,947.68 = 233,722.59 : x
  2. Step 2: Convert to fraction form
    360,825.77/497,947.68 = 233,722.59/x
  3. Step 3: Cross multiply
    360,825.77x = 497,947.68 × 233,722.59
  4. Step 4: Simplify right side
    360,825.77x = 116,381,621,454.09
  5. Step 5: Solve for x
    x = 116,381,621,454.09/360,825.77
  6. Step 6: Final answer
    x = 322,542.44

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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.