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Finding the Fourth Proportional to 731,518.51, 1,009,497.03 and 409,234.00

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Solution

The fourth proportional to 731,518.51, 1,009,497.03 and 409,234.00 is: 564,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,518.51 : 1,009,497.03 = 409,234.00 : x
  2. Step 2: Convert to fraction form
    731,518.51/1,009,497.03 = 409,234.00/x
  3. Step 3: Cross multiply
    731,518.51x = 1,009,497.03 × 409,234.00
  4. Step 4: Simplify right side
    731,518.51x = 413,120,502,527.54
  5. Step 5: Solve for x
    x = 413,120,502,527.54/731,518.51
  6. Step 6: Final answer
    x = 564,743.75

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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.