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Finding the Fourth Proportional to 432,065.81, 596,084.51 and 270,639.83

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Solution

The fourth proportional to 432,065.81, 596,084.51 and 270,639.83 is: 373,378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,065.81 : 596,084.51 = 270,639.83 : x
  2. Step 2: Convert to fraction form
    432,065.81/596,084.51 = 270,639.83/x
  3. Step 3: Cross multiply
    432,065.81x = 596,084.51 × 270,639.83
  4. Step 4: Simplify right side
    432,065.81x = 161,324,206,118.41
  5. Step 5: Solve for x
    x = 161,324,206,118.41/432,065.81
  6. Step 6: Final answer
    x = 373,378.79

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Why These Related Problems?

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