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Finding the Fourth Proportional to 731,507.94, 1,009,482.44 and 409,223.42

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Solution

The fourth proportional to 731,507.94, 1,009,482.44 and 409,223.42 is: 564,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,507.94 : 1,009,482.44 = 409,223.42 : x
  2. Step 2: Convert to fraction form
    731,507.94/1,009,482.44 = 409,223.42/x
  3. Step 3: Cross multiply
    731,507.94x = 1,009,482.44 × 409,223.42
  4. Step 4: Simplify right side
    731,507.94x = 413,103,858,027.39
  5. Step 5: Solve for x
    x = 413,103,858,027.39/731,507.94
  6. Step 6: Final answer
    x = 564,729.15

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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.