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Finding the Fourth Proportional to 340,292.40, 509,920.20 and 287,415.60

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Solution

The fourth proportional to 340,292.40, 509,920.20 and 287,415.60 is: 430,685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,292.40 : 509,920.20 = 287,415.60 : x
  2. Step 2: Convert to fraction form
    340,292.40/509,920.20 = 287,415.60/x
  3. Step 3: Cross multiply
    340,292.40x = 509,920.20 × 287,415.60
  4. Step 4: Simplify right side
    340,292.40x = 146,559,020,235.12
  5. Step 5: Solve for x
    x = 146,559,020,235.12/340,292.40
  6. Step 6: Final answer
    x = 430,685.55

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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.