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Finding the Fourth Proportional to 301,592.37, 415,966.84 and 204,870.81

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Solution

The fourth proportional to 301,592.37, 415,966.84 and 204,870.81 is: 282,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,592.37 : 415,966.84 = 204,870.81 : x
  2. Step 2: Convert to fraction form
    301,592.37/415,966.84 = 204,870.81/x
  3. Step 3: Cross multiply
    301,592.37x = 415,966.84 × 204,870.81
  4. Step 4: Simplify right side
    301,592.37x = 85,219,463,443.94
  5. Step 5: Solve for x
    x = 85,219,463,443.94/301,592.37
  6. Step 6: Final answer
    x = 282,565.05

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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.