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Finding the Fourth Proportional to 286,213.60, 429,320.40 and 202,232.80

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Solution

The fourth proportional to 286,213.60, 429,320.40 and 202,232.80 is: 303,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,213.60 : 429,320.40 = 202,232.80 : x
  2. Step 2: Convert to fraction form
    286,213.60/429,320.40 = 202,232.80/x
  3. Step 3: Cross multiply
    286,213.60x = 429,320.40 × 202,232.80
  4. Step 4: Simplify right side
    286,213.60x = 86,822,666,589.12
  5. Step 5: Solve for x
    x = 86,822,666,589.12/286,213.60
  6. Step 6: Final answer
    x = 303,349.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.