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Finding the Fourth Proportional to 506,366.82, 759,316.45 and 186,438.34

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Solution

The fourth proportional to 506,366.82, 759,316.45 and 186,438.34 is: 279,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,366.82 : 759,316.45 = 186,438.34 : x
  2. Step 2: Convert to fraction form
    506,366.82/759,316.45 = 186,438.34/x
  3. Step 3: Cross multiply
    506,366.82x = 759,316.45 × 186,438.34
  4. Step 4: Simplify right side
    506,366.82x = 141,565,698,472.69
  5. Step 5: Solve for x
    x = 141,565,698,472.69/506,366.82
  6. Step 6: Final answer
    x = 279,571.43

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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.