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Finding the Fourth Proportional to 357,278.16, 493,094.16 and 204,348.54

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Solution

The fourth proportional to 357,278.16, 493,094.16 and 204,348.54 is: 282,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,278.16 : 493,094.16 = 204,348.54 : x
  2. Step 2: Convert to fraction form
    357,278.16/493,094.16 = 204,348.54/x
  3. Step 3: Cross multiply
    357,278.16x = 493,094.16 × 204,348.54
  4. Step 4: Simplify right side
    357,278.16x = 100,763,071,678.53
  5. Step 5: Solve for x
    x = 100,763,071,678.53/357,278.16
  6. Step 6: Final answer
    x = 282,029.75

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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.