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Finding the Fourth Proportional to 416,473.75, 574,744.21 and 255,417.60

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Solution

The fourth proportional to 416,473.75, 574,744.21 and 255,417.60 is: 352,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,473.75 : 574,744.21 = 255,417.60 : x
  2. Step 2: Convert to fraction form
    416,473.75/574,744.21 = 255,417.60/x
  3. Step 3: Cross multiply
    416,473.75x = 574,744.21 × 255,417.60
  4. Step 4: Simplify right side
    416,473.75x = 146,799,788,248.84
  5. Step 5: Solve for x
    x = 146,799,788,248.84/416,473.75
  6. Step 6: Final answer
    x = 352,482.69

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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.