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Finding the Fourth Proportional to 506,655.55, 759,863.94 and 186,633.64

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Solution

The fourth proportional to 506,655.55, 759,863.94 and 186,633.64 is: 279,906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,655.55 : 759,863.94 = 186,633.64 : x
  2. Step 2: Convert to fraction form
    506,655.55/759,863.94 = 186,633.64/x
  3. Step 3: Cross multiply
    506,655.55x = 759,863.94 × 186,633.64
  4. Step 4: Simplify right side
    506,655.55x = 141,816,169,002.66
  5. Step 5: Solve for x
    x = 141,816,169,002.66/506,655.55
  6. Step 6: Final answer
    x = 279,906.48

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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.