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Finding the Fourth Proportional to 468,585.31, 702,871.75 and 113,602.54

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Solution

The fourth proportional to 468,585.31, 702,871.75 and 113,602.54 is: 170,402.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,585.31 : 702,871.75 = 113,602.54 : x
  2. Step 2: Convert to fraction form
    468,585.31/702,871.75 = 113,602.54/x
  3. Step 3: Cross multiply
    468,585.31x = 702,871.75 × 113,602.54
  4. Step 4: Simplify right side
    468,585.31x = 79,848,016,094.25
  5. Step 5: Solve for x
    x = 79,848,016,094.25/468,585.31
  6. Step 6: Final answer
    x = 170,402.30

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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.