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Finding the Fourth Proportional to 731,519.51, 1,009,498.41 and 409,235

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Solution

The fourth proportional to 731,519.51, 1,009,498.41 and 409,235 is: 564,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,519.51 : 1,009,498.41 = 409,235 : x
  2. Step 2: Convert to fraction form
    731,519.51/1,009,498.41 = 409,235/x
  3. Step 3: Cross multiply
    731,519.51x = 1,009,498.41 × 409,235
  4. Step 4: Simplify right side
    731,519.51x = 413,122,081,816.35
  5. Step 5: Solve for x
    x = 413,122,081,816.35/731,519.51
  6. Step 6: Final answer
    x = 564,745.13

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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.