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Finding the Fourth Proportional to 416,852.12, 575,266.62 and 255,796.16

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Solution

The fourth proportional to 416,852.12, 575,266.62 and 255,796.16 is: 353,005.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,852.12 : 575,266.62 = 255,796.16 : x
  2. Step 2: Convert to fraction form
    416,852.12/575,266.62 = 255,796.16/x
  3. Step 3: Cross multiply
    416,852.12x = 575,266.62 × 255,796.16
  4. Step 4: Simplify right side
    416,852.12x = 147,150,992,372.18
  5. Step 5: Solve for x
    x = 147,150,992,372.18/416,852.12
  6. Step 6: Final answer
    x = 353,005.26

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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.