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Finding the Fourth Proportional to 314,798.48, 434,372.60 and 176,950.12

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Solution

The fourth proportional to 314,798.48, 434,372.60 and 176,950.12 is: 244,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,798.48 : 434,372.60 = 176,950.12 : x
  2. Step 2: Convert to fraction form
    314,798.48/434,372.60 = 176,950.12/x
  3. Step 3: Cross multiply
    314,798.48x = 434,372.60 × 176,950.12
  4. Step 4: Simplify right side
    314,798.48x = 76,862,283,694.71
  5. Step 5: Solve for x
    x = 76,862,283,694.71/314,798.48
  6. Step 6: Final answer
    x = 244,163.45

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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.