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Finding the Fourth Proportional to 657,009.70, 984,967.80 and 278,221.30

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Solution

The fourth proportional to 657,009.70, 984,967.80 and 278,221.30 is: 417,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,009.70 : 984,967.80 = 278,221.30 : x
  2. Step 2: Convert to fraction form
    657,009.70/984,967.80 = 278,221.30/x
  3. Step 3: Cross multiply
    657,009.70x = 984,967.80 × 278,221.30
  4. Step 4: Simplify right side
    657,009.70x = 274,039,021,774.14
  5. Step 5: Solve for x
    x = 274,039,021,774.14/657,009.70
  6. Step 6: Final answer
    x = 417,100.42

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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.