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Finding the Fourth Proportional to 429,034.50, 589,968.09 and 372,347.46

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Solution

The fourth proportional to 429,034.50, 589,968.09 and 372,347.46 is: 512,017.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,034.50 : 589,968.09 = 372,347.46 : x
  2. Step 2: Convert to fraction form
    429,034.50/589,968.09 = 372,347.46/x
  3. Step 3: Cross multiply
    429,034.50x = 589,968.09 × 372,347.46
  4. Step 4: Simplify right side
    429,034.50x = 219,673,119,792.55
  5. Step 5: Solve for x
    x = 219,673,119,792.55/429,034.50
  6. Step 6: Final answer
    x = 512,017.38

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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.