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Finding the Fourth Proportional to 497,106.40, 745,659.60 and 164,682.40

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Solution

The fourth proportional to 497,106.40, 745,659.60 and 164,682.40 is: 247,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,106.40 : 745,659.60 = 164,682.40 : x
  2. Step 2: Convert to fraction form
    497,106.40/745,659.60 = 164,682.40/x
  3. Step 3: Cross multiply
    497,106.40x = 745,659.60 × 164,682.40
  4. Step 4: Simplify right side
    497,106.40x = 122,797,012,511.04
  5. Step 5: Solve for x
    x = 122,797,012,511.04/497,106.40
  6. Step 6: Final answer
    x = 247,023.60

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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.