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Finding the Fourth Proportional to 416,319.82, 574,531.80 and 255,263.65

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Solution

The fourth proportional to 416,319.82, 574,531.80 and 255,263.65 is: 352,270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,319.82 : 574,531.80 = 255,263.65 : x
  2. Step 2: Convert to fraction form
    416,319.82/574,531.80 = 255,263.65/x
  3. Step 3: Cross multiply
    416,319.82x = 574,531.80 × 255,263.65
  4. Step 4: Simplify right side
    416,319.82x = 146,657,084,309.07
  5. Step 5: Solve for x
    x = 146,657,084,309.07/416,319.82
  6. Step 6: Final answer
    x = 352,270.24

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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.