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Finding the Fourth Proportional to 380,229.72, 524,728.14 and 210,479.64

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Solution

The fourth proportional to 380,229.72, 524,728.14 and 210,479.64 is: 290,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,229.72 : 524,728.14 = 210,479.64 : x
  2. Step 2: Convert to fraction form
    380,229.72/524,728.14 = 210,479.64/x
  3. Step 3: Cross multiply
    380,229.72x = 524,728.14 × 210,479.64
  4. Step 4: Simplify right side
    380,229.72x = 110,444,590,005.07
  5. Step 5: Solve for x
    x = 110,444,590,005.07/380,229.72
  6. Step 6: Final answer
    x = 290,468.06

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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.