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Finding the Fourth Proportional to 502,632.29, 693,639.58 and 273,189.50

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Solution

The fourth proportional to 502,632.29, 693,639.58 and 273,189.50 is: 377,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,632.29 : 693,639.58 = 273,189.50 : x
  2. Step 2: Convert to fraction form
    502,632.29/693,639.58 = 273,189.50/x
  3. Step 3: Cross multiply
    502,632.29x = 693,639.58 × 273,189.50
  4. Step 4: Simplify right side
    502,632.29x = 189,495,050,040.41
  5. Step 5: Solve for x
    x = 189,495,050,040.41/502,632.29
  6. Step 6: Final answer
    x = 377,005.33

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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.