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Finding the Fourth Proportional to 586,704.65, 809,513.64 and 332,055.83

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Solution

The fourth proportional to 586,704.65, 809,513.64 and 332,055.83 is: 458,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,704.65 : 809,513.64 = 332,055.83 : x
  2. Step 2: Convert to fraction form
    586,704.65/809,513.64 = 332,055.83/x
  3. Step 3: Cross multiply
    586,704.65x = 809,513.64 × 332,055.83
  4. Step 4: Simplify right side
    586,704.65x = 268,803,719,578.95
  5. Step 5: Solve for x
    x = 268,803,719,578.95/586,704.65
  6. Step 6: Final answer
    x = 458,158.50

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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.