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Finding the Fourth Proportional to 338,502.21, 467,180.96 and 209,482.25

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Solution

The fourth proportional to 338,502.21, 467,180.96 and 209,482.25 is: 289,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,502.21 : 467,180.96 = 209,482.25 : x
  2. Step 2: Convert to fraction form
    338,502.21/467,180.96 = 209,482.25/x
  3. Step 3: Cross multiply
    338,502.21x = 467,180.96 × 209,482.25
  4. Step 4: Simplify right side
    338,502.21x = 97,866,115,274.64
  5. Step 5: Solve for x
    x = 97,866,115,274.64/338,502.21
  6. Step 6: Final answer
    x = 289,115.14

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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.