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Finding the Fourth Proportional to 357,307.16, 493,085.24 and 196,178.72

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Solution

The fourth proportional to 357,307.16, 493,085.24 and 196,178.72 is: 270,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,307.16 : 493,085.24 = 196,178.72 : x
  2. Step 2: Convert to fraction form
    357,307.16/493,085.24 = 196,178.72/x
  3. Step 3: Cross multiply
    357,307.16x = 493,085.24 × 196,178.72
  4. Step 4: Simplify right side
    357,307.16x = 96,732,831,234.09
  5. Step 5: Solve for x
    x = 96,732,831,234.09/357,307.16
  6. Step 6: Final answer
    x = 270,727.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.