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Finding the Fourth Proportional to 669,998.30, 924,743.48 and 412,096.91

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Solution

The fourth proportional to 669,998.30, 924,743.48 and 412,096.91 is: 568,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,998.30 : 924,743.48 = 412,096.91 : x
  2. Step 2: Convert to fraction form
    669,998.30/924,743.48 = 412,096.91/x
  3. Step 3: Cross multiply
    669,998.30x = 924,743.48 × 412,096.91
  4. Step 4: Simplify right side
    669,998.30x = 381,083,923,966.45
  5. Step 5: Solve for x
    x = 381,083,923,966.45/669,998.30
  6. Step 6: Final answer
    x = 568,783.42

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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.