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Finding the Fourth Proportional to 456,812.10, 683,274.15 and 409,767.30

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Solution

The fourth proportional to 456,812.10, 683,274.15 and 409,767.30 is: 612,907.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,812.10 : 683,274.15 = 409,767.30 : x
  2. Step 2: Convert to fraction form
    456,812.10/683,274.15 = 409,767.30/x
  3. Step 3: Cross multiply
    456,812.10x = 683,274.15 × 409,767.30
  4. Step 4: Simplify right side
    456,812.10x = 279,983,403,605.30
  5. Step 5: Solve for x
    x = 279,983,403,605.30/456,812.10
  6. Step 6: Final answer
    x = 612,907.15

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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.