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Finding the Fourth Proportional to 416,493.51, 574,468.75 and 255,412.76

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Solution

The fourth proportional to 416,493.51, 574,468.75 and 255,412.76 is: 352,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,493.51 : 574,468.75 = 255,412.76 : x
  2. Step 2: Convert to fraction form
    416,493.51/574,468.75 = 255,412.76/x
  3. Step 3: Cross multiply
    416,493.51x = 574,468.75 × 255,412.76
  4. Step 4: Simplify right side
    416,493.51x = 146,726,649,768.89
  5. Step 5: Solve for x
    x = 146,726,649,768.89/416,493.51
  6. Step 6: Final answer
    x = 352,290.36

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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.