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Finding the Fourth Proportional to 650,810.40, 977,090.40 and 415,197.60

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Solution

The fourth proportional to 650,810.40, 977,090.40 and 415,197.60 is: 623,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,810.40 : 977,090.40 = 415,197.60 : x
  2. Step 2: Convert to fraction form
    650,810.40/977,090.40 = 415,197.60/x
  3. Step 3: Cross multiply
    650,810.40x = 977,090.40 × 415,197.60
  4. Step 4: Simplify right side
    650,810.40x = 405,685,589,063.04
  5. Step 5: Solve for x
    x = 405,685,589,063.04/650,810.40
  6. Step 6: Final answer
    x = 623,354.50

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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.