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Finding the Fourth Proportional to 416,855.12, 575,270.76 and 255,799.16

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Solution

The fourth proportional to 416,855.12, 575,270.76 and 255,799.16 is: 353,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,855.12 : 575,270.76 = 255,799.16 : x
  2. Step 2: Convert to fraction form
    416,855.12/575,270.76 = 255,799.16/x
  3. Step 3: Cross multiply
    416,855.12x = 575,270.76 × 255,799.16
  4. Step 4: Simplify right side
    416,855.12x = 147,153,777,180.56
  5. Step 5: Solve for x
    x = 147,153,777,180.56/416,855.12
  6. Step 6: Final answer
    x = 353,009.40

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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.