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Finding the Fourth Proportional to 500,176.41, 689,796.37 and 364,526.52

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Solution

The fourth proportional to 500,176.41, 689,796.37 and 364,526.52 is: 502,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,176.41 : 689,796.37 = 364,526.52 : x
  2. Step 2: Convert to fraction form
    500,176.41/689,796.37 = 364,526.52/x
  3. Step 3: Cross multiply
    500,176.41x = 689,796.37 × 364,526.52
  4. Step 4: Simplify right side
    500,176.41x = 251,449,070,264.73
  5. Step 5: Solve for x
    x = 251,449,070,264.73/500,176.41
  6. Step 6: Final answer
    x = 502,720.77

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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.