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Finding the Fourth Proportional to 314,804.70, 434,377.27 and 176,965.26

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Solution

The fourth proportional to 314,804.70, 434,377.27 and 176,965.26 is: 244,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,804.70 : 434,377.27 = 176,965.26 : x
  2. Step 2: Convert to fraction form
    314,804.70/434,377.27 = 176,965.26/x
  3. Step 3: Cross multiply
    314,804.70x = 434,377.27 × 176,965.26
  4. Step 4: Simplify right side
    314,804.70x = 76,869,686,523.64
  5. Step 5: Solve for x
    x = 76,869,686,523.64/314,804.70
  6. Step 6: Final answer
    x = 244,182.14

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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.