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Finding the Fourth Proportional to 416,858.12, 575,274.92 and 255,802.16

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Solution

The fourth proportional to 416,858.12, 575,274.92 and 255,802.16 is: 353,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,858.12 : 575,274.92 = 255,802.16 : x
  2. Step 2: Convert to fraction form
    416,858.12/575,274.92 = 255,802.16/x
  3. Step 3: Cross multiply
    416,858.12x = 575,274.92 × 255,802.16
  4. Step 4: Simplify right side
    416,858.12x = 147,156,567,129.83
  5. Step 5: Solve for x
    x = 147,156,567,129.83/416,858.12
  6. Step 6: Final answer
    x = 353,013.56

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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.