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Finding the Fourth Proportional to 561,102.40, 774,338.08 and 306,465.60

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Solution

The fourth proportional to 561,102.40, 774,338.08 and 306,465.60 is: 422,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,102.40 : 774,338.08 = 306,465.60 : x
  2. Step 2: Convert to fraction form
    561,102.40/774,338.08 = 306,465.60/x
  3. Step 3: Cross multiply
    561,102.40x = 774,338.08 × 306,465.60
  4. Step 4: Simplify right side
    561,102.40x = 237,307,984,290.05
  5. Step 5: Solve for x
    x = 237,307,984,290.05/561,102.40
  6. Step 6: Final answer
    x = 422,931.69

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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.