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Finding the Fourth Proportional to 294,977, 442,427.84 and 95,276.64

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Solution

The fourth proportional to 294,977, 442,427.84 and 95,276.64 is: 142,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,977 : 442,427.84 = 95,276.64 : x
  2. Step 2: Convert to fraction form
    294,977/442,427.84 = 95,276.64/x
  3. Step 3: Cross multiply
    294,977x = 442,427.84 × 95,276.64
  4. Step 4: Simplify right side
    294,977x = 42,153,038,037.66
  5. Step 5: Solve for x
    x = 42,153,038,037.66/294,977
  6. Step 6: Final answer
    x = 142,902.80

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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.