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Finding the Fourth Proportional to 410,153.45, 566,130.58 and 238,110.05

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Solution

The fourth proportional to 410,153.45, 566,130.58 and 238,110.05 is: 328,660.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,153.45 : 566,130.58 = 238,110.05 : x
  2. Step 2: Convert to fraction form
    410,153.45/566,130.58 = 238,110.05/x
  3. Step 3: Cross multiply
    410,153.45x = 566,130.58 × 238,110.05
  4. Step 4: Simplify right side
    410,153.45x = 134,801,381,530.38
  5. Step 5: Solve for x
    x = 134,801,381,530.38/410,153.45
  6. Step 6: Final answer
    x = 328,660.85

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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.