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Finding the Fourth Proportional to 413,717.40, 620,576.10 and 256,253.40

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Solution

The fourth proportional to 413,717.40, 620,576.10 and 256,253.40 is: 384,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,717.40 : 620,576.10 = 256,253.40 : x
  2. Step 2: Convert to fraction form
    413,717.40/620,576.10 = 256,253.40/x
  3. Step 3: Cross multiply
    413,717.40x = 620,576.10 × 256,253.40
  4. Step 4: Simplify right side
    413,717.40x = 159,024,735,583.74
  5. Step 5: Solve for x
    x = 159,024,735,583.74/413,717.40
  6. Step 6: Final answer
    x = 384,380.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.