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Finding the Fourth Proportional to 289,386.20, 433,496.10 and 194,907.80

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Solution

The fourth proportional to 289,386.20, 433,496.10 and 194,907.80 is: 291,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,386.20 : 433,496.10 = 194,907.80 : x
  2. Step 2: Convert to fraction form
    289,386.20/433,496.10 = 194,907.80/x
  3. Step 3: Cross multiply
    289,386.20x = 433,496.10 × 194,907.80
  4. Step 4: Simplify right side
    289,386.20x = 84,491,771,159.58
  5. Step 5: Solve for x
    x = 84,491,771,159.58/289,386.20
  6. Step 6: Final answer
    x = 291,968.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.