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Finding the Fourth Proportional to 468,502.64, 646,529.16 and 253,637.12

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Solution

The fourth proportional to 468,502.64, 646,529.16 and 253,637.12 is: 350,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,502.64 : 646,529.16 = 253,637.12 : x
  2. Step 2: Convert to fraction form
    468,502.64/646,529.16 = 253,637.12/x
  3. Step 3: Cross multiply
    468,502.64x = 646,529.16 × 253,637.12
  4. Step 4: Simplify right side
    468,502.64x = 163,983,794,138.42
  5. Step 5: Solve for x
    x = 163,983,794,138.42/468,502.64
  6. Step 6: Final answer
    x = 350,016.80

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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.