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Finding the Fourth Proportional to 501,666.59, 692,102.84 and 286,691.33

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Solution

The fourth proportional to 501,666.59, 692,102.84 and 286,691.33 is: 395,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,666.59 : 692,102.84 = 286,691.33 : x
  2. Step 2: Convert to fraction form
    501,666.59/692,102.84 = 286,691.33/x
  3. Step 3: Cross multiply
    501,666.59x = 692,102.84 × 286,691.33
  4. Step 4: Simplify right side
    501,666.59x = 198,419,883,993.18
  5. Step 5: Solve for x
    x = 198,419,883,993.18/501,666.59
  6. Step 6: Final answer
    x = 395,521.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.