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Finding the Fourth Proportional to 362,854.08, 500,704.74 and 209,867.76

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Solution

The fourth proportional to 362,854.08, 500,704.74 and 209,867.76 is: 289,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,854.08 : 500,704.74 = 209,867.76 : x
  2. Step 2: Convert to fraction form
    362,854.08/500,704.74 = 209,867.76/x
  3. Step 3: Cross multiply
    362,854.08x = 500,704.74 × 209,867.76
  4. Step 4: Simplify right side
    362,854.08x = 105,081,782,205.18
  5. Step 5: Solve for x
    x = 105,081,782,205.18/362,854.08
  6. Step 6: Final answer
    x = 289,597.91

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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.