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Finding the Fourth Proportional to 322,779.29, 484,196.04 and 98,141.68

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Solution

The fourth proportional to 322,779.29, 484,196.04 and 98,141.68 is: 147,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,779.29 : 484,196.04 = 98,141.68 : x
  2. Step 2: Convert to fraction form
    322,779.29/484,196.04 = 98,141.68/x
  3. Step 3: Cross multiply
    322,779.29x = 484,196.04 × 98,141.68
  4. Step 4: Simplify right side
    322,779.29x = 47,519,810,420.57
  5. Step 5: Solve for x
    x = 47,519,810,420.57/322,779.29
  6. Step 6: Final answer
    x = 147,220.75

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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.