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Finding the Fourth Proportional to 506,656.96, 759,866.04 and 186,635.05

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Solution

The fourth proportional to 506,656.96, 759,866.04 and 186,635.05 is: 279,908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,656.96 : 759,866.04 = 186,635.05 : x
  2. Step 2: Convert to fraction form
    506,656.96/759,866.04 = 186,635.05/x
  3. Step 3: Cross multiply
    506,656.96x = 759,866.04 × 186,635.05
  4. Step 4: Simplify right side
    506,656.96x = 141,817,634,469.04
  5. Step 5: Solve for x
    x = 141,817,634,469.04/506,656.96
  6. Step 6: Final answer
    x = 279,908.59

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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.