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Finding the Fourth Proportional to 407,496.34, 611,163.64 and 205,038.46

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Solution

The fourth proportional to 407,496.34, 611,163.64 and 205,038.46 is: 307,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,496.34 : 611,163.64 = 205,038.46 : x
  2. Step 2: Convert to fraction form
    407,496.34/611,163.64 = 205,038.46/x
  3. Step 3: Cross multiply
    407,496.34x = 611,163.64 × 205,038.46
  4. Step 4: Simplify right side
    407,496.34x = 125,312,051,553.59
  5. Step 5: Solve for x
    x = 125,312,051,553.59/407,496.34
  6. Step 6: Final answer
    x = 307,517.00

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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.