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Finding the Fourth Proportional to 515,809.92, 711,785.66 and 286,353.83

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Solution

The fourth proportional to 515,809.92, 711,785.66 and 286,353.83 is: 395,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,809.92 : 711,785.66 = 286,353.83 : x
  2. Step 2: Convert to fraction form
    515,809.92/711,785.66 = 286,353.83/x
  3. Step 3: Cross multiply
    515,809.92x = 711,785.66 × 286,353.83
  4. Step 4: Simplify right side
    515,809.92x = 203,822,546,321.15
  5. Step 5: Solve for x
    x = 203,822,546,321.15/515,809.92
  6. Step 6: Final answer
    x = 395,150.50

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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.