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Finding the Fourth Proportional to 403,792.80, 605,689.20 and 309,314.40

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Solution

The fourth proportional to 403,792.80, 605,689.20 and 309,314.40 is: 463,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,792.80 : 605,689.20 = 309,314.40 : x
  2. Step 2: Convert to fraction form
    403,792.80/605,689.20 = 309,314.40/x
  3. Step 3: Cross multiply
    403,792.80x = 605,689.20 × 309,314.40
  4. Step 4: Simplify right side
    403,792.80x = 187,348,391,484.48
  5. Step 5: Solve for x
    x = 187,348,391,484.48/403,792.80
  6. Step 6: Final answer
    x = 463,971.60

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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.