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Finding the Fourth Proportional to 506,838.96, 760,366.80 and 186,991.92

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Solution

The fourth proportional to 506,838.96, 760,366.80 and 186,991.92 is: 280,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,838.96 : 760,366.80 = 186,991.92 : x
  2. Step 2: Convert to fraction form
    506,838.96/760,366.80 = 186,991.92/x
  3. Step 3: Cross multiply
    506,838.96x = 760,366.80 × 186,991.92
  4. Step 4: Simplify right side
    506,838.96x = 142,182,447,836.26
  5. Step 5: Solve for x
    x = 142,182,447,836.26/506,838.96
  6. Step 6: Final answer
    x = 280,527.86

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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.