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Finding the Fourth Proportional to 407,014.80, 610,522.20 and 328,282.80

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Solution

The fourth proportional to 407,014.80, 610,522.20 and 328,282.80 is: 492,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,014.80 : 610,522.20 = 328,282.80 : x
  2. Step 2: Convert to fraction form
    407,014.80/610,522.20 = 328,282.80/x
  3. Step 3: Cross multiply
    407,014.80x = 610,522.20 × 328,282.80
  4. Step 4: Simplify right side
    407,014.80x = 200,423,937,278.16
  5. Step 5: Solve for x
    x = 200,423,937,278.16/407,014.80
  6. Step 6: Final answer
    x = 492,424.20

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Why These Related Problems?

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