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Finding the Fourth Proportional to 255,276.36, 382,914.54 and 68,283

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Solution

The fourth proportional to 255,276.36, 382,914.54 and 68,283 is: 102,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,276.36 : 382,914.54 = 68,283 : x
  2. Step 2: Convert to fraction form
    255,276.36/382,914.54 = 68,283/x
  3. Step 3: Cross multiply
    255,276.36x = 382,914.54 × 68,283
  4. Step 4: Simplify right side
    255,276.36x = 26,146,553,534.82
  5. Step 5: Solve for x
    x = 26,146,553,534.82/255,276.36
  6. Step 6: Final answer
    x = 102,424.50

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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.