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Finding the Fourth Proportional to 501,402.96, 691,985.79 and 286,573.86

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Solution

The fourth proportional to 501,402.96, 691,985.79 and 286,573.86 is: 395,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,402.96 : 691,985.79 = 286,573.86 : x
  2. Step 2: Convert to fraction form
    501,402.96/691,985.79 = 286,573.86/x
  3. Step 3: Cross multiply
    501,402.96x = 691,985.79 × 286,573.86
  4. Step 4: Simplify right side
    501,402.96x = 198,305,038,905.45
  5. Step 5: Solve for x
    x = 198,305,038,905.45/501,402.96
  6. Step 6: Final answer
    x = 395,500.34

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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.