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Finding the Fourth Proportional to 379,179.16, 523,271.66 and 209,412.76

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Solution

The fourth proportional to 379,179.16, 523,271.66 and 209,412.76 is: 288,992.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,179.16 : 523,271.66 = 209,412.76 : x
  2. Step 2: Convert to fraction form
    379,179.16/523,271.66 = 209,412.76/x
  3. Step 3: Cross multiply
    379,179.16x = 523,271.66 × 209,412.76
  4. Step 4: Simplify right side
    379,179.16x = 109,579,762,550.38
  5. Step 5: Solve for x
    x = 109,579,762,550.38/379,179.16
  6. Step 6: Final answer
    x = 288,992.05

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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.