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Finding the Fourth Proportional to 651,705.30, 977,120.55 and 314,907.30

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Solution

The fourth proportional to 651,705.30, 977,120.55 and 314,907.30 is: 472,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,705.30 : 977,120.55 = 314,907.30 : x
  2. Step 2: Convert to fraction form
    651,705.30/977,120.55 = 314,907.30/x
  3. Step 3: Cross multiply
    651,705.30x = 977,120.55 × 314,907.30
  4. Step 4: Simplify right side
    651,705.30x = 307,702,394,175.02
  5. Step 5: Solve for x
    x = 307,702,394,175.02/651,705.30
  6. Step 6: Final answer
    x = 472,149.60

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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.