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Finding the Fourth Proportional to 357,285.16, 493,034.96 and 212,096.98

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Solution

The fourth proportional to 357,285.16, 493,034.96 and 212,096.98 is: 292,682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,285.16 : 493,034.96 = 212,096.98 : x
  2. Step 2: Convert to fraction form
    357,285.16/493,034.96 = 212,096.98/x
  3. Step 3: Cross multiply
    357,285.16x = 493,034.96 × 212,096.98
  4. Step 4: Simplify right side
    357,285.16x = 104,571,226,050.42
  5. Step 5: Solve for x
    x = 104,571,226,050.42/357,285.16
  6. Step 6: Final answer
    x = 292,682.81

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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.