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Finding the Fourth Proportional to 357,529.56, 493,270.74 and 202,459.72

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Solution

The fourth proportional to 357,529.56, 493,270.74 and 202,459.72 is: 279,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,529.56 : 493,270.74 = 202,459.72 : x
  2. Step 2: Convert to fraction form
    357,529.56/493,270.74 = 202,459.72/x
  3. Step 3: Cross multiply
    357,529.56x = 493,270.74 × 202,459.72
  4. Step 4: Simplify right side
    357,529.56x = 99,867,455,904.59
  5. Step 5: Solve for x
    x = 99,867,455,904.59/357,529.56
  6. Step 6: Final answer
    x = 279,326.43

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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.