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Finding the Fourth Proportional to 300,594, 450,960.12 and 103,602

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Solution

The fourth proportional to 300,594, 450,960.12 and 103,602 is: 155,426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,594 : 450,960.12 = 103,602 : x
  2. Step 2: Convert to fraction form
    300,594/450,960.12 = 103,602/x
  3. Step 3: Cross multiply
    300,594x = 450,960.12 × 103,602
  4. Step 4: Simplify right side
    300,594x = 46,720,370,352.24
  5. Step 5: Solve for x
    x = 46,720,370,352.24/300,594
  6. Step 6: Final answer
    x = 155,426.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.