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Finding the Fourth Proportional to 334,111.80, 500,946.30 and 184,423.80

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Solution

The fourth proportional to 334,111.80, 500,946.30 and 184,423.80 is: 276,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,111.80 : 500,946.30 = 184,423.80 : x
  2. Step 2: Convert to fraction form
    334,111.80/500,946.30 = 184,423.80/x
  3. Step 3: Cross multiply
    334,111.80x = 500,946.30 × 184,423.80
  4. Step 4: Simplify right side
    334,111.80x = 92,386,420,241.94
  5. Step 5: Solve for x
    x = 92,386,420,241.94/334,111.80
  6. Step 6: Final answer
    x = 276,513.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.