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Finding the Fourth Proportional to 549,024.64, 823,603.40 and 193,966

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Solution

The fourth proportional to 549,024.64, 823,603.40 and 193,966 is: 290,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,024.64 : 823,603.40 = 193,966 : x
  2. Step 2: Convert to fraction form
    549,024.64/823,603.40 = 193,966/x
  3. Step 3: Cross multiply
    549,024.64x = 823,603.40 × 193,966
  4. Step 4: Simplify right side
    549,024.64x = 159,751,057,084.40
  5. Step 5: Solve for x
    x = 159,751,057,084.40/549,024.64
  6. Step 6: Final answer
    x = 290,972.47

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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.