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Finding the Fourth Proportional to 459,769.77, 689,709.96 and 152,032.14

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Solution

The fourth proportional to 459,769.77, 689,709.96 and 152,032.14 is: 228,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,769.77 : 689,709.96 = 152,032.14 : x
  2. Step 2: Convert to fraction form
    459,769.77/689,709.96 = 152,032.14/x
  3. Step 3: Cross multiply
    459,769.77x = 689,709.96 × 152,032.14
  4. Step 4: Simplify right side
    459,769.77x = 104,858,081,198.11
  5. Step 5: Solve for x
    x = 104,858,081,198.11/459,769.77
  6. Step 6: Final answer
    x = 228,066.50

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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.