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Finding the Fourth Proportional to 433,314.10, 598,123.76 and 297,796.65

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Solution

The fourth proportional to 433,314.10, 598,123.76 and 297,796.65 is: 411,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,314.10 : 598,123.76 = 297,796.65 : x
  2. Step 2: Convert to fraction form
    433,314.10/598,123.76 = 297,796.65/x
  3. Step 3: Cross multiply
    433,314.10x = 598,123.76 × 297,796.65
  4. Step 4: Simplify right side
    433,314.10x = 178,119,250,519.68
  5. Step 5: Solve for x
    x = 178,119,250,519.68/433,314.10
  6. Step 6: Final answer
    x = 411,062.67

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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.