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Finding the Fourth Proportional to 459,454, 689,181.04 and 143,935.50

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Solution

The fourth proportional to 459,454, 689,181.04 and 143,935.50 is: 215,903.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,454 : 689,181.04 = 143,935.50 : x
  2. Step 2: Convert to fraction form
    459,454/689,181.04 = 143,935.50/x
  3. Step 3: Cross multiply
    459,454x = 689,181.04 × 143,935.50
  4. Step 4: Simplify right side
    459,454x = 99,197,617,582.92
  5. Step 5: Solve for x
    x = 99,197,617,582.92/459,454
  6. Step 6: Final answer
    x = 215,903.26

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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.