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Finding the Fourth Proportional to 734,969.69, 1,014,308.31 and 408,320.99

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Solution

The fourth proportional to 734,969.69, 1,014,308.31 and 408,320.99 is: 563,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,969.69 : 1,014,308.31 = 408,320.99 : x
  2. Step 2: Convert to fraction form
    734,969.69/1,014,308.31 = 408,320.99/x
  3. Step 3: Cross multiply
    734,969.69x = 1,014,308.31 × 408,320.99
  4. Step 4: Simplify right side
    734,969.69x = 414,163,368,232.89
  5. Step 5: Solve for x
    x = 414,163,368,232.89/734,969.69
  6. Step 6: Final answer
    x = 563,510.82

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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.