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Finding the Fourth Proportional to 459,453, 689,179.54 and 143,934.50

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Solution

The fourth proportional to 459,453, 689,179.54 and 143,934.50 is: 215,901.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,453 : 689,179.54 = 143,934.50 : x
  2. Step 2: Convert to fraction form
    459,453/689,179.54 = 143,934.50/x
  3. Step 3: Cross multiply
    459,453x = 689,179.54 × 143,934.50
  4. Step 4: Simplify right side
    459,453x = 99,196,712,500.13
  5. Step 5: Solve for x
    x = 99,196,712,500.13/459,453
  6. Step 6: Final answer
    x = 215,901.76

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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.