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Finding the Fourth Proportional to 510,041.97, 765,035.26 and 155,028.31

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Solution

The fourth proportional to 510,041.97, 765,035.26 and 155,028.31 is: 232,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,041.97 : 765,035.26 = 155,028.31 : x
  2. Step 2: Convert to fraction form
    510,041.97/765,035.26 = 155,028.31/x
  3. Step 3: Cross multiply
    510,041.97x = 765,035.26 × 155,028.31
  4. Step 4: Simplify right side
    510,041.97x = 118,602,121,148.05
  5. Step 5: Solve for x
    x = 118,602,121,148.05/510,041.97
  6. Step 6: Final answer
    x = 232,534.04

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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.