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Finding the Fourth Proportional to 436,078.30, 654,117.45 and 409,812.70

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Solution

The fourth proportional to 436,078.30, 654,117.45 and 409,812.70 is: 614,719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,078.30 : 654,117.45 = 409,812.70 : x
  2. Step 2: Convert to fraction form
    436,078.30/654,117.45 = 409,812.70/x
  3. Step 3: Cross multiply
    436,078.30x = 654,117.45 × 409,812.70
  4. Step 4: Simplify right side
    436,078.30x = 268,065,638,301.62
  5. Step 5: Solve for x
    x = 268,065,638,301.62/436,078.30
  6. Step 6: Final answer
    x = 614,719.05

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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.