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Finding the Fourth Proportional to 977,102.80, 1,465,459.80 and 471,662.80

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Solution

The fourth proportional to 977,102.80, 1,465,459.80 and 471,662.80 is: 707,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,102.80 : 1,465,459.80 = 471,662.80 : x
  2. Step 2: Convert to fraction form
    977,102.80/1,465,459.80 = 471,662.80/x
  3. Step 3: Cross multiply
    977,102.80x = 1,465,459.80 × 471,662.80
  4. Step 4: Simplify right side
    977,102.80x = 691,202,872,555.44
  5. Step 5: Solve for x
    x = 691,202,872,555.44/977,102.80
  6. Step 6: Final answer
    x = 707,400.36

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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.