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Finding the Fourth Proportional to 302,782.83, 417,851.60 and 168,655.47

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Solution

The fourth proportional to 302,782.83, 417,851.60 and 168,655.47 is: 232,750.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,782.83 : 417,851.60 = 168,655.47 : x
  2. Step 2: Convert to fraction form
    302,782.83/417,851.60 = 168,655.47/x
  3. Step 3: Cross multiply
    302,782.83x = 417,851.60 × 168,655.47
  4. Step 4: Simplify right side
    302,782.83x = 70,472,957,144.97
  5. Step 5: Solve for x
    x = 70,472,957,144.97/302,782.83
  6. Step 6: Final answer
    x = 232,750.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.