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Finding the Fourth Proportional to 335,772.84, 463,674.40 and 213,304.77

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Solution

The fourth proportional to 335,772.84, 463,674.40 and 213,304.77 is: 294,556.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,772.84 : 463,674.40 = 213,304.77 : x
  2. Step 2: Convert to fraction form
    335,772.84/463,674.40 = 213,304.77/x
  3. Step 3: Cross multiply
    335,772.84x = 463,674.40 × 213,304.77
  4. Step 4: Simplify right side
    335,772.84x = 98,903,960,009.46
  5. Step 5: Solve for x
    x = 98,903,960,009.46/335,772.84
  6. Step 6: Final answer
    x = 294,556.16

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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.