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Finding the Fourth Proportional to 601,943.22, 830,688.40 and 343,854.34

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Solution

The fourth proportional to 601,943.22, 830,688.40 and 343,854.34 is: 474,522.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,943.22 : 830,688.40 = 343,854.34 : x
  2. Step 2: Convert to fraction form
    601,943.22/830,688.40 = 343,854.34/x
  3. Step 3: Cross multiply
    601,943.22x = 830,688.40 × 343,854.34
  4. Step 4: Simplify right side
    601,943.22x = 285,635,808,591.30
  5. Step 5: Solve for x
    x = 285,635,808,591.30/601,943.22
  6. Step 6: Final answer
    x = 474,522.84

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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.