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Finding the Fourth Proportional to 515,941.74, 711,960.54 and 289,543.50

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Solution

The fourth proportional to 515,941.74, 711,960.54 and 289,543.50 is: 399,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,941.74 : 711,960.54 = 289,543.50 : x
  2. Step 2: Convert to fraction form
    515,941.74/711,960.54 = 289,543.50/x
  3. Step 3: Cross multiply
    515,941.74x = 711,960.54 × 289,543.50
  4. Step 4: Simplify right side
    515,941.74x = 206,143,546,613.49
  5. Step 5: Solve for x
    x = 206,143,546,613.49/515,941.74
  6. Step 6: Final answer
    x = 399,548.11

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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.