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Finding the Fourth Proportional to 334,445.48, 461,341.76 and 213,450.41

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Solution

The fourth proportional to 334,445.48, 461,341.76 and 213,450.41 is: 294,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,445.48 : 461,341.76 = 213,450.41 : x
  2. Step 2: Convert to fraction form
    334,445.48/461,341.76 = 213,450.41/x
  3. Step 3: Cross multiply
    334,445.48x = 461,341.76 × 213,450.41
  4. Step 4: Simplify right side
    334,445.48x = 98,473,584,448.16
  5. Step 5: Solve for x
    x = 98,473,584,448.16/334,445.48
  6. Step 6: Final answer
    x = 294,438.38

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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.