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Finding the Fourth Proportional to 360,091.84, 496,968.96 and 216,924.16

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Solution

The fourth proportional to 360,091.84, 496,968.96 and 216,924.16 is: 299,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,091.84 : 496,968.96 = 216,924.16 : x
  2. Step 2: Convert to fraction form
    360,091.84/496,968.96 = 216,924.16/x
  3. Step 3: Cross multiply
    360,091.84x = 496,968.96 × 216,924.16
  4. Step 4: Simplify right side
    360,091.84x = 107,804,574,194.07
  5. Step 5: Solve for x
    x = 107,804,574,194.07/360,091.84
  6. Step 6: Final answer
    x = 299,380.78

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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.