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Finding the Fourth Proportional to 515,624.00, 711,568.80 and 286,196.15

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Solution

The fourth proportional to 515,624.00, 711,568.80 and 286,196.15 is: 394,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,624.00 : 711,568.80 = 286,196.15 : x
  2. Step 2: Convert to fraction form
    515,624.00/711,568.80 = 286,196.15/x
  3. Step 3: Cross multiply
    515,624.00x = 711,568.80 × 286,196.15
  4. Step 4: Simplify right side
    515,624.00x = 203,648,252,799.04
  5. Step 5: Solve for x
    x = 203,648,252,799.04/515,624.00
  6. Step 6: Final answer
    x = 394,954.96

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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.