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Finding the Fourth Proportional to 511,463.82, 705,858.48 and 296,602.02

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Solution

The fourth proportional to 511,463.82, 705,858.48 and 296,602.02 is: 409,333.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,463.82 : 705,858.48 = 296,602.02 : x
  2. Step 2: Convert to fraction form
    511,463.82/705,858.48 = 296,602.02/x
  3. Step 3: Cross multiply
    511,463.82x = 705,858.48 × 296,602.02
  4. Step 4: Simplify right side
    511,463.82x = 209,359,051,002.13
  5. Step 5: Solve for x
    x = 209,359,051,002.13/511,463.82
  6. Step 6: Final answer
    x = 409,333.06

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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.