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Finding the Fourth Proportional to 294,516.10, 441,774.15 and 256,024.90

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Solution

The fourth proportional to 294,516.10, 441,774.15 and 256,024.90 is: 384,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,516.10 : 441,774.15 = 256,024.90 : x
  2. Step 2: Convert to fraction form
    294,516.10/441,774.15 = 256,024.90/x
  3. Step 3: Cross multiply
    294,516.10x = 441,774.15 × 256,024.90
  4. Step 4: Simplify right side
    294,516.10x = 113,105,182,576.34
  5. Step 5: Solve for x
    x = 113,105,182,576.34/294,516.10
  6. Step 6: Final answer
    x = 384,037.35

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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.