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Finding the Fourth Proportional to 416,880.96, 575,162.88 and 255,658.56

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Solution

The fourth proportional to 416,880.96, 575,162.88 and 255,658.56 is: 352,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,880.96 : 575,162.88 = 255,658.56 : x
  2. Step 2: Convert to fraction form
    416,880.96/575,162.88 = 255,658.56/x
  3. Step 3: Cross multiply
    416,880.96x = 575,162.88 × 255,658.56
  4. Step 4: Simplify right side
    416,880.96x = 147,045,313,666.25
  5. Step 5: Solve for x
    x = 147,045,313,666.25/416,880.96
  6. Step 6: Final answer
    x = 352,727.34

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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.