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Finding the Fourth Proportional to 586,808.72, 809,815.32 and 332,154.44

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Solution

The fourth proportional to 586,808.72, 809,815.32 and 332,154.44 is: 458,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,808.72 : 809,815.32 = 332,154.44 : x
  2. Step 2: Convert to fraction form
    586,808.72/809,815.32 = 332,154.44/x
  3. Step 3: Cross multiply
    586,808.72x = 809,815.32 × 332,154.44
  4. Step 4: Simplify right side
    586,808.72x = 268,983,754,118.02
  5. Step 5: Solve for x
    x = 268,983,754,118.02/586,808.72
  6. Step 6: Final answer
    x = 458,384.04

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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.