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Finding the Fourth Proportional to 705,098.64, 1,056,924 and 278,461.56

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Solution

The fourth proportional to 705,098.64, 1,056,924 and 278,461.56 is: 417,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,098.64 : 1,056,924 = 278,461.56 : x
  2. Step 2: Convert to fraction form
    705,098.64/1,056,924 = 278,461.56/x
  3. Step 3: Cross multiply
    705,098.64x = 1,056,924 × 278,461.56
  4. Step 4: Simplify right side
    705,098.64x = 294,312,705,841.44
  5. Step 5: Solve for x
    x = 294,312,705,841.44/705,098.64
  6. Step 6: Final answer
    x = 417,406.43

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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.