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Finding the Fourth Proportional to 442,685.44, 610,904.64 and 241,480

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Solution

The fourth proportional to 442,685.44, 610,904.64 and 241,480 is: 333,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,685.44 : 610,904.64 = 241,480 : x
  2. Step 2: Convert to fraction form
    442,685.44/610,904.64 = 241,480/x
  3. Step 3: Cross multiply
    442,685.44x = 610,904.64 × 241,480
  4. Step 4: Simplify right side
    442,685.44x = 147,521,252,467.20
  5. Step 5: Solve for x
    x = 147,521,252,467.20/442,685.44
  6. Step 6: Final answer
    x = 333,241.71

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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.