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Finding the Fourth Proportional to 651,427.60, 977,141.40 and 427,478.80

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Solution

The fourth proportional to 651,427.60, 977,141.40 and 427,478.80 is: 641,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,427.60 : 977,141.40 = 427,478.80 : x
  2. Step 2: Convert to fraction form
    651,427.60/977,141.40 = 427,478.80/x
  3. Step 3: Cross multiply
    651,427.60x = 977,141.40 × 427,478.80
  4. Step 4: Simplify right side
    651,427.60x = 417,707,233,102.32
  5. Step 5: Solve for x
    x = 417,707,233,102.32/651,427.60
  6. Step 6: Final answer
    x = 641,218.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.