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Finding the Fourth Proportional to 498,774.40, 748,164.48 and 166,349.44

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Solution

The fourth proportional to 498,774.40, 748,164.48 and 166,349.44 is: 249,525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,774.40 : 748,164.48 = 166,349.44 : x
  2. Step 2: Convert to fraction form
    498,774.40/748,164.48 = 166,349.44/x
  3. Step 3: Cross multiply
    498,774.40x = 748,164.48 × 166,349.44
  4. Step 4: Simplify right side
    498,774.40x = 124,456,742,275.89
  5. Step 5: Solve for x
    x = 124,456,742,275.89/498,774.40
  6. Step 6: Final answer
    x = 249,525.12

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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.