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Finding the Fourth Proportional to 358,833.32, 537,560.64 and 200,582

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Solution

The fourth proportional to 358,833.32, 537,560.64 and 200,582 is: 300,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,833.32 : 537,560.64 = 200,582 : x
  2. Step 2: Convert to fraction form
    358,833.32/537,560.64 = 200,582/x
  3. Step 3: Cross multiply
    358,833.32x = 537,560.64 × 200,582
  4. Step 4: Simplify right side
    358,833.32x = 107,824,988,292.48
  5. Step 5: Solve for x
    x = 107,824,988,292.48/358,833.32
  6. Step 6: Final answer
    x = 300,487.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.