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Finding the Fourth Proportional to 382,502.36, 573,228.64 and 242,009.48

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Solution

The fourth proportional to 382,502.36, 573,228.64 and 242,009.48 is: 362,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,502.36 : 573,228.64 = 242,009.48 : x
  2. Step 2: Convert to fraction form
    382,502.36/573,228.64 = 242,009.48/x
  3. Step 3: Cross multiply
    382,502.36x = 573,228.64 × 242,009.48
  4. Step 4: Simplify right side
    382,502.36x = 138,726,765,087.51
  5. Step 5: Solve for x
    x = 138,726,765,087.51/382,502.36
  6. Step 6: Final answer
    x = 362,682.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.