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Finding the Fourth Proportional to 569,198.72, 785,463.30 and 314,533.50

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Solution

The fourth proportional to 569,198.72, 785,463.30 and 314,533.50 is: 434,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,198.72 : 785,463.30 = 314,533.50 : x
  2. Step 2: Convert to fraction form
    569,198.72/785,463.30 = 314,533.50/x
  3. Step 3: Cross multiply
    569,198.72x = 785,463.30 × 314,533.50
  4. Step 4: Simplify right side
    569,198.72x = 247,054,520,870.55
  5. Step 5: Solve for x
    x = 247,054,520,870.55/569,198.72
  6. Step 6: Final answer
    x = 434,039.14

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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.