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Finding the Fourth Proportional to 650,814.40, 977,096.40 and 415,201.60

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Solution

The fourth proportional to 650,814.40, 977,096.40 and 415,201.60 is: 623,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,814.40 : 977,096.40 = 415,201.60 : x
  2. Step 2: Convert to fraction form
    650,814.40/977,096.40 = 415,201.60/x
  3. Step 3: Cross multiply
    650,814.40x = 977,096.40 × 415,201.60
  4. Step 4: Simplify right side
    650,814.40x = 405,691,988,634.24
  5. Step 5: Solve for x
    x = 405,691,988,634.24/650,814.40
  6. Step 6: Final answer
    x = 623,360.50

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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.