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Finding the Fourth Proportional to 510,653, 766,329.48 and 178,229

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Solution

The fourth proportional to 510,653, 766,329.48 and 178,229 is: 267,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,653 : 766,329.48 = 178,229 : x
  2. Step 2: Convert to fraction form
    510,653/766,329.48 = 178,229/x
  3. Step 3: Cross multiply
    510,653x = 766,329.48 × 178,229
  4. Step 4: Simplify right side
    510,653x = 136,582,136,890.92
  5. Step 5: Solve for x
    x = 136,582,136,890.92/510,653
  6. Step 6: Final answer
    x = 267,465.65

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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.