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Finding the Fourth Proportional to 515,504.18, 711,394.29 and 286,096.08

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Solution

The fourth proportional to 515,504.18, 711,394.29 and 286,096.08 is: 394,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,504.18 : 711,394.29 = 286,096.08 : x
  2. Step 2: Convert to fraction form
    515,504.18/711,394.29 = 286,096.08/x
  3. Step 3: Cross multiply
    515,504.18x = 711,394.29 × 286,096.08
  4. Step 4: Simplify right side
    515,504.18x = 203,527,117,703.38
  5. Step 5: Solve for x
    x = 203,527,117,703.38/515,504.18
  6. Step 6: Final answer
    x = 394,811.77

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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.