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Finding the Fourth Proportional to 360,796.88, 497,970.12 and 217,580.24

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Solution

The fourth proportional to 360,796.88, 497,970.12 and 217,580.24 is: 300,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,796.88 : 497,970.12 = 217,580.24 : x
  2. Step 2: Convert to fraction form
    360,796.88/497,970.12 = 217,580.24/x
  3. Step 3: Cross multiply
    360,796.88x = 497,970.12 × 217,580.24
  4. Step 4: Simplify right side
    360,796.88x = 108,348,458,222.43
  5. Step 5: Solve for x
    x = 108,348,458,222.43/360,796.88
  6. Step 6: Final answer
    x = 300,303.20

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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.