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Finding the Fourth Proportional to 529,705.60, 794,865.60 and 197,315.20

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Solution

The fourth proportional to 529,705.60, 794,865.60 and 197,315.20 is: 296,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,705.60 : 794,865.60 = 197,315.20 : x
  2. Step 2: Convert to fraction form
    529,705.60/794,865.60 = 197,315.20/x
  3. Step 3: Cross multiply
    529,705.60x = 794,865.60 × 197,315.20
  4. Step 4: Simplify right side
    529,705.60x = 156,839,064,837.12
  5. Step 5: Solve for x
    x = 156,839,064,837.12/529,705.60
  6. Step 6: Final answer
    x = 296,087.23

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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.