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Finding the Fourth Proportional to 416,968.56, 575,417.61 and 225,981.90

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Solution

The fourth proportional to 416,968.56, 575,417.61 and 225,981.90 is: 311,855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,968.56 : 575,417.61 = 225,981.90 : x
  2. Step 2: Convert to fraction form
    416,968.56/575,417.61 = 225,981.90/x
  3. Step 3: Cross multiply
    416,968.56x = 575,417.61 × 225,981.90
  4. Step 4: Simplify right side
    416,968.56x = 130,033,964,801.26
  5. Step 5: Solve for x
    x = 130,033,964,801.26/416,968.56
  6. Step 6: Final answer
    x = 311,855.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.