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Finding the Fourth Proportional to 507,340.44, 698,534.82 and 430,707.96

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Solution

The fourth proportional to 507,340.44, 698,534.82 and 430,707.96 is: 593,022.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,340.44 : 698,534.82 = 430,707.96 : x
  2. Step 2: Convert to fraction form
    507,340.44/698,534.82 = 430,707.96/x
  3. Step 3: Cross multiply
    507,340.44x = 698,534.82 × 430,707.96
  4. Step 4: Simplify right side
    507,340.44x = 300,864,507,311.17
  5. Step 5: Solve for x
    x = 300,864,507,311.17/507,340.44
  6. Step 6: Final answer
    x = 593,022.92

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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.