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Finding the Fourth Proportional to 459,483.84, 688,966.56 and 178,679.52

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Solution

The fourth proportional to 459,483.84, 688,966.56 and 178,679.52 is: 267,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,483.84 : 688,966.56 = 178,679.52 : x
  2. Step 2: Convert to fraction form
    459,483.84/688,966.56 = 178,679.52/x
  3. Step 3: Cross multiply
    459,483.84x = 688,966.56 × 178,679.52
  4. Step 4: Simplify right side
    459,483.84x = 123,104,214,236.85
  5. Step 5: Solve for x
    x = 123,104,214,236.85/459,483.84
  6. Step 6: Final answer
    x = 267,918.48

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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.