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Finding the Fourth Proportional to 461,750.60, 692,625.90 and 414,511.40

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Solution

The fourth proportional to 461,750.60, 692,625.90 and 414,511.40 is: 621,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,750.60 : 692,625.90 = 414,511.40 : x
  2. Step 2: Convert to fraction form
    461,750.60/692,625.90 = 414,511.40/x
  3. Step 3: Cross multiply
    461,750.60x = 692,625.90 × 414,511.40
  4. Step 4: Simplify right side
    461,750.60x = 287,101,331,485.26
  5. Step 5: Solve for x
    x = 287,101,331,485.26/461,750.60
  6. Step 6: Final answer
    x = 621,767.10

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1.5x scale

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.