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Finding the Fourth Proportional to 283,178.50, 424,767.75 and 116,970.82

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Solution

The fourth proportional to 283,178.50, 424,767.75 and 116,970.82 is: 175,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,178.50 : 424,767.75 = 116,970.82 : x
  2. Step 2: Convert to fraction form
    283,178.50/424,767.75 = 116,970.82/x
  3. Step 3: Cross multiply
    283,178.50x = 424,767.75 × 116,970.82
  4. Step 4: Simplify right side
    283,178.50x = 49,685,432,027.06
  5. Step 5: Solve for x
    x = 49,685,432,027.06/283,178.50
  6. Step 6: Final answer
    x = 175,456.23

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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.