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Finding the Fourth Proportional to 458,784.59, 688,183.81 and 159,274.70

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Solution

The fourth proportional to 458,784.59, 688,183.81 and 159,274.70 is: 238,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,784.59 : 688,183.81 = 159,274.70 : x
  2. Step 2: Convert to fraction form
    458,784.59/688,183.81 = 159,274.70/x
  3. Step 3: Cross multiply
    458,784.59x = 688,183.81 × 159,274.70
  4. Step 4: Simplify right side
    458,784.59x = 109,610,266,441.69
  5. Step 5: Solve for x
    x = 109,610,266,441.69/458,784.59
  6. Step 6: Final answer
    x = 238,914.45

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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.