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Finding the Fourth Proportional to 643,823.80, 965,735.70 and 477,935.80

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Solution

The fourth proportional to 643,823.80, 965,735.70 and 477,935.80 is: 716,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,823.80 : 965,735.70 = 477,935.80 : x
  2. Step 2: Convert to fraction form
    643,823.80/965,735.70 = 477,935.80/x
  3. Step 3: Cross multiply
    643,823.80x = 965,735.70 × 477,935.80
  4. Step 4: Simplify right side
    643,823.80x = 461,559,664,368.06
  5. Step 5: Solve for x
    x = 461,559,664,368.06/643,823.80
  6. Step 6: Final answer
    x = 716,903.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.