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Finding the Fourth Proportional to 334,114.80, 461,070 and 183,211.80

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Solution

The fourth proportional to 334,114.80, 461,070 and 183,211.80 is: 252,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,114.80 : 461,070 = 183,211.80 : x
  2. Step 2: Convert to fraction form
    334,114.80/461,070 = 183,211.80/x
  3. Step 3: Cross multiply
    334,114.80x = 461,070 × 183,211.80
  4. Step 4: Simplify right side
    334,114.80x = 84,473,464,626
  5. Step 5: Solve for x
    x = 84,473,464,626/334,114.80
  6. Step 6: Final answer
    x = 252,827.66

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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.