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Finding the Fourth Proportional to 283,838.32, 391,680.80 and 176,405.60

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Solution

The fourth proportional to 283,838.32, 391,680.80 and 176,405.60 is: 243,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,838.32 : 391,680.80 = 176,405.60 : x
  2. Step 2: Convert to fraction form
    283,838.32/391,680.80 = 176,405.60/x
  3. Step 3: Cross multiply
    283,838.32x = 391,680.80 × 176,405.60
  4. Step 4: Simplify right side
    283,838.32x = 69,094,686,532.48
  5. Step 5: Solve for x
    x = 69,094,686,532.48/283,838.32
  6. Step 6: Final answer
    x = 243,429.73

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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.