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Finding the Fourth Proportional to 550,931.36, 826,454.64 and 195,978.08

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Solution

The fourth proportional to 550,931.36, 826,454.64 and 195,978.08 is: 293,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,931.36 : 826,454.64 = 195,978.08 : x
  2. Step 2: Convert to fraction form
    550,931.36/826,454.64 = 195,978.08/x
  3. Step 3: Cross multiply
    550,931.36x = 826,454.64 × 195,978.08
  4. Step 4: Simplify right side
    550,931.36x = 161,966,993,554.29
  5. Step 5: Solve for x
    x = 161,966,993,554.29/550,931.36
  6. Step 6: Final answer
    x = 293,987.61

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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.