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Finding the Fourth Proportional to 652,155.90, 977,067.45 and 402,546.30

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Solution

The fourth proportional to 652,155.90, 977,067.45 and 402,546.30 is: 603,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,155.90 : 977,067.45 = 402,546.30 : x
  2. Step 2: Convert to fraction form
    652,155.90/977,067.45 = 402,546.30/x
  3. Step 3: Cross multiply
    652,155.90x = 977,067.45 × 402,546.30
  4. Step 4: Simplify right side
    652,155.90x = 393,314,886,847.94
  5. Step 5: Solve for x
    x = 393,314,886,847.94/652,155.90
  6. Step 6: Final answer
    x = 603,099.48

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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.