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Finding the Fourth Proportional to 304,090.66, 419,553 and 212,207.50

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Solution

The fourth proportional to 304,090.66, 419,553 and 212,207.50 is: 292,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,090.66 : 419,553 = 212,207.50 : x
  2. Step 2: Convert to fraction form
    304,090.66/419,553 = 212,207.50/x
  3. Step 3: Cross multiply
    304,090.66x = 419,553 × 212,207.50
  4. Step 4: Simplify right side
    304,090.66x = 89,032,291,149.74
  5. Step 5: Solve for x
    x = 89,032,291,149.74/304,090.66
  6. Step 6: Final answer
    x = 292,782.07

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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.