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Finding the Fourth Proportional to 334,740.99, 461,713.31 and 213,828.59

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Solution

The fourth proportional to 334,740.99, 461,713.31 and 213,828.59 is: 294,937.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,740.99 : 461,713.31 = 213,828.59 : x
  2. Step 2: Convert to fraction form
    334,740.99/461,713.31 = 213,828.59/x
  3. Step 3: Cross multiply
    334,740.99x = 461,713.31 × 213,828.59
  4. Step 4: Simplify right side
    334,740.99x = 98,727,502,683.82
  5. Step 5: Solve for x
    x = 98,727,502,683.82/334,740.99
  6. Step 6: Final answer
    x = 294,937.00

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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.