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Finding the Fourth Proportional to 405,518.10, 608,891.55 and 312,129.30

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Solution

The fourth proportional to 405,518.10, 608,891.55 and 312,129.30 is: 468,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,518.10 : 608,891.55 = 312,129.30 : x
  2. Step 2: Convert to fraction form
    405,518.10/608,891.55 = 312,129.30/x
  3. Step 3: Cross multiply
    405,518.10x = 608,891.55 × 312,129.30
  4. Step 4: Simplify right side
    405,518.10x = 190,052,893,277.42
  5. Step 5: Solve for x
    x = 190,052,893,277.42/405,518.10
  6. Step 6: Final answer
    x = 468,666.86

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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.