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Finding the Fourth Proportional to 863,306, 1,295,077.18 and 294,534.40

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Solution

The fourth proportional to 863,306, 1,295,077.18 and 294,534.40 is: 441,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,306 : 1,295,077.18 = 294,534.40 : x
  2. Step 2: Convert to fraction form
    863,306/1,295,077.18 = 294,534.40/x
  3. Step 3: Cross multiply
    863,306x = 1,295,077.18 × 294,534.40
  4. Step 4: Simplify right side
    863,306x = 381,444,780,164.99
  5. Step 5: Solve for x
    x = 381,444,780,164.99/863,306
  6. Step 6: Final answer
    x = 441,841.92

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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.