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Finding the Fourth Proportional to 283,037.32, 390,429.30 and 176,869

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Solution

The fourth proportional to 283,037.32, 390,429.30 and 176,869 is: 243,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,037.32 : 390,429.30 = 176,869 : x
  2. Step 2: Convert to fraction form
    283,037.32/390,429.30 = 176,869/x
  3. Step 3: Cross multiply
    283,037.32x = 390,429.30 × 176,869
  4. Step 4: Simplify right side
    283,037.32x = 69,054,839,861.70
  5. Step 5: Solve for x
    x = 69,054,839,861.70/283,037.32
  6. Step 6: Final answer
    x = 243,977.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.