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Finding the Fourth Proportional to 492,501.80, 679,758.15 and 311,098.34

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Solution

The fourth proportional to 492,501.80, 679,758.15 and 311,098.34 is: 429,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,501.80 : 679,758.15 = 311,098.34 : x
  2. Step 2: Convert to fraction form
    492,501.80/679,758.15 = 311,098.34/x
  3. Step 3: Cross multiply
    492,501.80x = 679,758.15 × 311,098.34
  4. Step 4: Simplify right side
    492,501.80x = 211,471,628,667.68
  5. Step 5: Solve for x
    x = 211,471,628,667.68/492,501.80
  6. Step 6: Final answer
    x = 429,382.45

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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.