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Finding the Fourth Proportional to 617,922.80, 925,069.80 and 460,847.60

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Solution

The fourth proportional to 617,922.80, 925,069.80 and 460,847.60 is: 689,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,922.80 : 925,069.80 = 460,847.60 : x
  2. Step 2: Convert to fraction form
    617,922.80/925,069.80 = 460,847.60/x
  3. Step 3: Cross multiply
    617,922.80x = 925,069.80 × 460,847.60
  4. Step 4: Simplify right side
    617,922.80x = 426,316,197,162.48
  5. Step 5: Solve for x
    x = 426,316,197,162.48/617,922.80
  6. Step 6: Final answer
    x = 689,918.22

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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.