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Finding the Fourth Proportional to 727,751.94, 1,004,308.66 and 417,705.81

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Solution

The fourth proportional to 727,751.94, 1,004,308.66 and 417,705.81 is: 576,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,751.94 : 1,004,308.66 = 417,705.81 : x
  2. Step 2: Convert to fraction form
    727,751.94/1,004,308.66 = 417,705.81/x
  3. Step 3: Cross multiply
    727,751.94x = 1,004,308.66 × 417,705.81
  4. Step 4: Simplify right side
    727,751.94x = 419,505,559,071.29
  5. Step 5: Solve for x
    x = 419,505,559,071.29/727,751.94
  6. Step 6: Final answer
    x = 576,440.32

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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.