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Finding the Fourth Proportional to 669,906, 924,241.44 and 415,164.24

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Solution

The fourth proportional to 669,906, 924,241.44 and 415,164.24 is: 572,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,906 : 924,241.44 = 415,164.24 : x
  2. Step 2: Convert to fraction form
    669,906/924,241.44 = 415,164.24/x
  3. Step 3: Cross multiply
    669,906x = 924,241.44 × 415,164.24
  4. Step 4: Simplify right side
    669,906x = 383,711,995,014.11
  5. Step 5: Solve for x
    x = 383,711,995,014.11/669,906
  6. Step 6: Final answer
    x = 572,784.83

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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.