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Finding the Fourth Proportional to 559,513.24, 838,672.25 and 319,109.56

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Solution

The fourth proportional to 559,513.24, 838,672.25 and 319,109.56 is: 478,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,513.24 : 838,672.25 = 319,109.56 : x
  2. Step 2: Convert to fraction form
    559,513.24/838,672.25 = 319,109.56/x
  3. Step 3: Cross multiply
    559,513.24x = 838,672.25 × 319,109.56
  4. Step 4: Simplify right side
    559,513.24x = 267,628,331,086.16
  5. Step 5: Solve for x
    x = 267,628,331,086.16/559,513.24
  6. Step 6: Final answer
    x = 478,323.50

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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.