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Finding the Fourth Proportional to 434,108, 654,119.88 and 356,950.56

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Solution

The fourth proportional to 434,108, 654,119.88 and 356,950.56 is: 537,857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,108 : 654,119.88 = 356,950.56 : x
  2. Step 2: Convert to fraction form
    434,108/654,119.88 = 356,950.56/x
  3. Step 3: Cross multiply
    434,108x = 654,119.88 × 356,950.56
  4. Step 4: Simplify right side
    434,108x = 233,488,457,473.13
  5. Step 5: Solve for x
    x = 233,488,457,473.13/434,108
  6. Step 6: Final answer
    x = 537,857.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.