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Finding the Fourth Proportional to 510,651, 766,326.48 and 178,227

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Solution

The fourth proportional to 510,651, 766,326.48 and 178,227 is: 267,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,651 : 766,326.48 = 178,227 : x
  2. Step 2: Convert to fraction form
    510,651/766,326.48 = 178,227/x
  3. Step 3: Cross multiply
    510,651x = 766,326.48 × 178,227
  4. Step 4: Simplify right side
    510,651x = 136,580,069,550.96
  5. Step 5: Solve for x
    x = 136,580,069,550.96/510,651
  6. Step 6: Final answer
    x = 267,462.65

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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.