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Finding the Fourth Proportional to 461,720.80, 692,581.20 and 410,111.20

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Solution

The fourth proportional to 461,720.80, 692,581.20 and 410,111.20 is: 615,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,720.80 : 692,581.20 = 410,111.20 : x
  2. Step 2: Convert to fraction form
    461,720.80/692,581.20 = 410,111.20/x
  3. Step 3: Cross multiply
    461,720.80x = 692,581.20 × 410,111.20
  4. Step 4: Simplify right side
    461,720.80x = 284,035,307,029.44
  5. Step 5: Solve for x
    x = 284,035,307,029.44/461,720.80
  6. Step 6: Final answer
    x = 615,166.80

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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.