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Finding the Fourth Proportional to 409,170.42, 564,913.71 and 301,553.01

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Solution

The fourth proportional to 409,170.42, 564,913.71 and 301,553.01 is: 416,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,170.42 : 564,913.71 = 301,553.01 : x
  2. Step 2: Convert to fraction form
    409,170.42/564,913.71 = 301,553.01/x
  3. Step 3: Cross multiply
    409,170.42x = 564,913.71 × 301,553.01
  4. Step 4: Simplify right side
    409,170.42x = 170,351,429,640.77
  5. Step 5: Solve for x
    x = 170,351,429,640.77/409,170.42
  6. Step 6: Final answer
    x = 416,333.69

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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.