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Finding the Fourth Proportional to 499,902.94, 689,864.14 and 270,459.50

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Solution

The fourth proportional to 499,902.94, 689,864.14 and 270,459.50 is: 373,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,902.94 : 689,864.14 = 270,459.50 : x
  2. Step 2: Convert to fraction form
    499,902.94/689,864.14 = 270,459.50/x
  3. Step 3: Cross multiply
    499,902.94x = 689,864.14 × 270,459.50
  4. Step 4: Simplify right side
    499,902.94x = 186,580,310,372.33
  5. Step 5: Solve for x
    x = 186,580,310,372.33/499,902.94
  6. Step 6: Final answer
    x = 373,233.07

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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.