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Finding the Fourth Proportional to 569,204.72, 785,471.58 and 314,539.50

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Solution

The fourth proportional to 569,204.72, 785,471.58 and 314,539.50 is: 434,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,204.72 : 785,471.58 = 314,539.50 : x
  2. Step 2: Convert to fraction form
    569,204.72/785,471.58 = 314,539.50/x
  3. Step 3: Cross multiply
    569,204.72x = 785,471.58 × 314,539.50
  4. Step 4: Simplify right side
    569,204.72x = 247,061,838,037.41
  5. Step 5: Solve for x
    x = 247,061,838,037.41/569,204.72
  6. Step 6: Final answer
    x = 434,047.42

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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.