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Finding the Fourth Proportional to 257,411.34, 355,227.75 and 156,809.34

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Solution

The fourth proportional to 257,411.34, 355,227.75 and 156,809.34 is: 216,396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,411.34 : 355,227.75 = 156,809.34 : x
  2. Step 2: Convert to fraction form
    257,411.34/355,227.75 = 156,809.34/x
  3. Step 3: Cross multiply
    257,411.34x = 355,227.75 × 156,809.34
  4. Step 4: Simplify right side
    257,411.34x = 55,703,029,027.19
  5. Step 5: Solve for x
    x = 55,703,029,027.19/257,411.34
  6. Step 6: Final answer
    x = 216,396.95

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1.5x scale

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.