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Finding the Fourth Proportional to 334,295.30, 500,971.44 and 184,602.98

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Solution

The fourth proportional to 334,295.30, 500,971.44 and 184,602.98 is: 276,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,295.30 : 500,971.44 = 184,602.98 : x
  2. Step 2: Convert to fraction form
    334,295.30/500,971.44 = 184,602.98/x
  3. Step 3: Cross multiply
    334,295.30x = 500,971.44 × 184,602.98
  4. Step 4: Simplify right side
    334,295.30x = 92,480,820,718.89
  5. Step 5: Solve for x
    x = 92,480,820,718.89/334,295.30
  6. Step 6: Final answer
    x = 276,644.09

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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.