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Finding the Fourth Proportional to 274,707.80, 411,543.30 and 256,045.40

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Solution

The fourth proportional to 274,707.80, 411,543.30 and 256,045.40 is: 383,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,707.80 : 411,543.30 = 256,045.40 : x
  2. Step 2: Convert to fraction form
    274,707.80/411,543.30 = 256,045.40/x
  3. Step 3: Cross multiply
    274,707.80x = 411,543.30 × 256,045.40
  4. Step 4: Simplify right side
    274,707.80x = 105,373,768,865.82
  5. Step 5: Solve for x
    x = 105,373,768,865.82/274,707.80
  6. Step 6: Final answer
    x = 383,584.92

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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.