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Finding the Fourth Proportional to 510,595.20, 765,894.72 and 178,171.20

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Solution

The fourth proportional to 510,595.20, 765,894.72 and 178,171.20 is: 267,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,595.20 : 765,894.72 = 178,171.20 : x
  2. Step 2: Convert to fraction form
    510,595.20/765,894.72 = 178,171.20/x
  3. Step 3: Cross multiply
    510,595.20x = 765,894.72 × 178,171.20
  4. Step 4: Simplify right side
    510,595.20x = 136,460,381,336.06
  5. Step 5: Solve for x
    x = 136,460,381,336.06/510,595.20
  6. Step 6: Final answer
    x = 267,257.47

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1.5x scale

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.