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Finding the Fourth Proportional to 475,302.63, 713,263.32 and 205,693.73

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Solution

The fourth proportional to 475,302.63, 713,263.32 and 205,693.73 is: 308,674.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,302.63 : 713,263.32 = 205,693.73 : x
  2. Step 2: Convert to fraction form
    475,302.63/713,263.32 = 205,693.73/x
  3. Step 3: Cross multiply
    475,302.63x = 713,263.32 × 205,693.73
  4. Step 4: Simplify right side
    475,302.63x = 146,713,791,871.40
  5. Step 5: Solve for x
    x = 146,713,791,871.40/475,302.63
  6. Step 6: Final answer
    x = 308,674.48

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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.