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Finding the Fourth Proportional to 731,606.84, 1,009,656.66 and 409,297.71

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Solution

The fourth proportional to 731,606.84, 1,009,656.66 and 409,297.71 is: 564,852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,606.84 : 1,009,656.66 = 409,297.71 : x
  2. Step 2: Convert to fraction form
    731,606.84/1,009,656.66 = 409,297.71/x
  3. Step 3: Cross multiply
    731,606.84x = 1,009,656.66 × 409,297.71
  4. Step 4: Simplify right side
    731,606.84x = 413,250,158,824.25
  5. Step 5: Solve for x
    x = 413,250,158,824.25/731,606.84
  6. Step 6: Final answer
    x = 564,852.79

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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.