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Finding the Fourth Proportional to 342,596.64, 514,114.32 and 184,934.88

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Solution

The fourth proportional to 342,596.64, 514,114.32 and 184,934.88 is: 277,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,596.64 : 514,114.32 = 184,934.88 : x
  2. Step 2: Convert to fraction form
    342,596.64/514,114.32 = 184,934.88/x
  3. Step 3: Cross multiply
    342,596.64x = 514,114.32 × 184,934.88
  4. Step 4: Simplify right side
    342,596.64x = 95,077,670,075.48
  5. Step 5: Solve for x
    x = 95,077,670,075.48/342,596.64
  6. Step 6: Final answer
    x = 277,520.73

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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.