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Finding the Fourth Proportional to 510,561.45, 765,447.66 and 257,711.78

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Solution

The fourth proportional to 510,561.45, 765,447.66 and 257,711.78 is: 386,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,561.45 : 765,447.66 = 257,711.78 : x
  2. Step 2: Convert to fraction form
    510,561.45/765,447.66 = 257,711.78/x
  3. Step 3: Cross multiply
    510,561.45x = 765,447.66 × 257,711.78
  4. Step 4: Simplify right side
    510,561.45x = 197,264,875,128.20
  5. Step 5: Solve for x
    x = 197,264,875,128.20/510,561.45
  6. Step 6: Final answer
    x = 386,368.53

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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.