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Finding the Fourth Proportional to 510,735.11, 765,658.78 and 257,804.91

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Solution

The fourth proportional to 510,735.11, 765,658.78 and 257,804.91 is: 386,483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,735.11 : 765,658.78 = 257,804.91 : x
  2. Step 2: Convert to fraction form
    510,735.11/765,658.78 = 257,804.91/x
  3. Step 3: Cross multiply
    510,735.11x = 765,658.78 × 257,804.91
  4. Step 4: Simplify right side
    510,735.11x = 197,390,592,224.10
  5. Step 5: Solve for x
    x = 197,390,592,224.10/510,735.11
  6. Step 6: Final answer
    x = 386,483.31

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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.