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Finding the Fourth Proportional to 360,308.90, 497,173.02 and 205,261.58

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Solution

The fourth proportional to 360,308.90, 497,173.02 and 205,261.58 is: 283,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,308.90 : 497,173.02 = 205,261.58 : x
  2. Step 2: Convert to fraction form
    360,308.90/497,173.02 = 205,261.58/x
  3. Step 3: Cross multiply
    360,308.90x = 497,173.02 × 205,261.58
  4. Step 4: Simplify right side
    360,308.90x = 102,050,519,618.57
  5. Step 5: Solve for x
    x = 102,050,519,618.57/360,308.90
  6. Step 6: Final answer
    x = 283,230.64

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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.