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Finding the Fourth Proportional to 729,797.50, 1,007,000.40 and 407,455.84

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Solution

The fourth proportional to 729,797.50, 1,007,000.40 and 407,455.84 is: 562,221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,797.50 : 1,007,000.40 = 407,455.84 : x
  2. Step 2: Convert to fraction form
    729,797.50/1,007,000.40 = 407,455.84/x
  3. Step 3: Cross multiply
    729,797.50x = 1,007,000.40 × 407,455.84
  4. Step 4: Simplify right side
    729,797.50x = 410,308,193,862.34
  5. Step 5: Solve for x
    x = 410,308,193,862.34/729,797.50
  6. Step 6: Final answer
    x = 562,221.98

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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.