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Finding the Fourth Proportional to 459,010.08, 688,250.25 and 178,199.28

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Solution

The fourth proportional to 459,010.08, 688,250.25 and 178,199.28 is: 267,196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,010.08 : 688,250.25 = 178,199.28 : x
  2. Step 2: Convert to fraction form
    459,010.08/688,250.25 = 178,199.28/x
  3. Step 3: Cross multiply
    459,010.08x = 688,250.25 × 178,199.28
  4. Step 4: Simplify right side
    459,010.08x = 122,645,699,009.82
  5. Step 5: Solve for x
    x = 122,645,699,009.82/459,010.08
  6. Step 6: Final answer
    x = 267,196.09

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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.