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Finding the Fourth Proportional to 601,975.12, 830,741.46 and 340,309.60

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Solution

The fourth proportional to 601,975.12, 830,741.46 and 340,309.60 is: 469,636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,975.12 : 830,741.46 = 340,309.60 : x
  2. Step 2: Convert to fraction form
    601,975.12/830,741.46 = 340,309.60/x
  3. Step 3: Cross multiply
    601,975.12x = 830,741.46 × 340,309.60
  4. Step 4: Simplify right side
    601,975.12x = 282,709,293,956.02
  5. Step 5: Solve for x
    x = 282,709,293,956.02/601,975.12
  6. Step 6: Final answer
    x = 469,636.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.