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Finding the Fourth Proportional to 380,272.88, 524,776.69 and 210,507.01

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Solution

The fourth proportional to 380,272.88, 524,776.69 and 210,507.01 is: 290,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,272.88 : 524,776.69 = 210,507.01 : x
  2. Step 2: Convert to fraction form
    380,272.88/524,776.69 = 210,507.01/x
  3. Step 3: Cross multiply
    380,272.88x = 524,776.69 × 210,507.01
  4. Step 4: Simplify right side
    380,272.88x = 110,469,171,929.60
  5. Step 5: Solve for x
    x = 110,469,171,929.60/380,272.88
  6. Step 6: Final answer
    x = 290,499.74

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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.