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Finding the Fourth Proportional to 459,022.60, 688,533.90 and 206,205.40

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Solution

The fourth proportional to 459,022.60, 688,533.90 and 206,205.40 is: 309,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,022.60 : 688,533.90 = 206,205.40 : x
  2. Step 2: Convert to fraction form
    459,022.60/688,533.90 = 206,205.40/x
  3. Step 3: Cross multiply
    459,022.60x = 688,533.90 × 206,205.40
  4. Step 4: Simplify right side
    459,022.60x = 141,979,408,263.06
  5. Step 5: Solve for x
    x = 141,979,408,263.06/459,022.60
  6. Step 6: Final answer
    x = 309,308.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.