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Finding the Fourth Proportional to 510,224.32, 765,447.19 and 155,229.11

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Solution

The fourth proportional to 510,224.32, 765,447.19 and 155,229.11 is: 232,877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,224.32 : 765,447.19 = 155,229.11 : x
  2. Step 2: Convert to fraction form
    510,224.32/765,447.19 = 155,229.11/x
  3. Step 3: Cross multiply
    510,224.32x = 765,447.19 × 155,229.11
  4. Step 4: Simplify right side
    510,224.32x = 118,819,686,055.70
  5. Step 5: Solve for x
    x = 118,819,686,055.70/510,224.32
  6. Step 6: Final answer
    x = 232,877.35

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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.