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Finding the Fourth Proportional to 729,999.95, 1,007,300.40 and 407,668.96

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Solution

The fourth proportional to 729,999.95, 1,007,300.40 and 407,668.96 is: 562,527.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,999.95 : 1,007,300.40 = 407,668.96 : x
  2. Step 2: Convert to fraction form
    729,999.95/1,007,300.40 = 407,668.96/x
  3. Step 3: Cross multiply
    729,999.95x = 1,007,300.40 × 407,668.96
  4. Step 4: Simplify right side
    729,999.95x = 410,645,101,439.08
  5. Step 5: Solve for x
    x = 410,645,101,439.08/729,999.95
  6. Step 6: Final answer
    x = 562,527.57

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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.