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Finding the Fourth Proportional to 510,638.44, 766,307.58 and 178,214.44

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Solution

The fourth proportional to 510,638.44, 766,307.58 and 178,214.44 is: 267,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,638.44 : 766,307.58 = 178,214.44 : x
  2. Step 2: Convert to fraction form
    510,638.44/766,307.58 = 178,214.44/x
  3. Step 3: Cross multiply
    510,638.44x = 766,307.58 × 178,214.44
  4. Step 4: Simplify right side
    510,638.44x = 136,567,076,237.46
  5. Step 5: Solve for x
    x = 136,567,076,237.46/510,638.44
  6. Step 6: Final answer
    x = 267,443.78

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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.