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Finding the Fourth Proportional to 942,966, 1,414,708.68 and 278,118

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Solution

The fourth proportional to 942,966, 1,414,708.68 and 278,118 is: 417,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,966 : 1,414,708.68 = 278,118 : x
  2. Step 2: Convert to fraction form
    942,966/1,414,708.68 = 278,118/x
  3. Step 3: Cross multiply
    942,966x = 1,414,708.68 × 278,118
  4. Step 4: Simplify right side
    942,966x = 393,455,948,664.24
  5. Step 5: Solve for x
    x = 393,455,948,664.24/942,966
  6. Step 6: Final answer
    x = 417,253.59

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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.