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Finding the Fourth Proportional to 459,460.80, 688,908.96 and 178,650.72

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Solution

The fourth proportional to 459,460.80, 688,908.96 and 178,650.72 is: 267,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,460.80 : 688,908.96 = 178,650.72 : x
  2. Step 2: Convert to fraction form
    459,460.80/688,908.96 = 178,650.72/x
  3. Step 3: Cross multiply
    459,460.80x = 688,908.96 × 178,650.72
  4. Step 4: Simplify right side
    459,460.80x = 123,074,081,718.45
  5. Step 5: Solve for x
    x = 123,074,081,718.45/459,460.80
  6. Step 6: Final answer
    x = 267,866.34

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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.