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Finding the Fourth Proportional to 334,740.49, 461,712.62 and 213,828.09

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Solution

The fourth proportional to 334,740.49, 461,712.62 and 213,828.09 is: 294,936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,740.49 : 461,712.62 = 213,828.09 : x
  2. Step 2: Convert to fraction form
    334,740.49/461,712.62 = 213,828.09/x
  3. Step 3: Cross multiply
    334,740.49x = 461,712.62 × 213,828.09
  4. Step 4: Simplify right side
    334,740.49x = 98,727,127,663.50
  5. Step 5: Solve for x
    x = 98,727,127,663.50/334,740.49
  6. Step 6: Final answer
    x = 294,936.32

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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.