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Finding the Fourth Proportional to 506,866.96, 699,573.52 and 362,065.76

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Solution

The fourth proportional to 506,866.96, 699,573.52 and 362,065.76 is: 499,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,866.96 : 699,573.52 = 362,065.76 : x
  2. Step 2: Convert to fraction form
    506,866.96/699,573.52 = 362,065.76/x
  3. Step 3: Cross multiply
    506,866.96x = 699,573.52 × 362,065.76
  4. Step 4: Simplify right side
    506,866.96x = 253,291,618,194.68
  5. Step 5: Solve for x
    x = 253,291,618,194.68/506,866.96
  6. Step 6: Final answer
    x = 499,720.12

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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.