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Finding the Fourth Proportional to 357,287.16, 493,037.72 and 212,098.96

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Solution

The fourth proportional to 357,287.16, 493,037.72 and 212,098.96 is: 292,685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,287.16 : 493,037.72 = 212,098.96 : x
  2. Step 2: Convert to fraction form
    357,287.16/493,037.72 = 212,098.96/x
  3. Step 3: Cross multiply
    357,287.16x = 493,037.72 × 212,098.96
  4. Step 4: Simplify right side
    357,287.16x = 104,572,787,652.77
  5. Step 5: Solve for x
    x = 104,572,787,652.77/357,287.16
  6. Step 6: Final answer
    x = 292,685.55

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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.