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Finding the Fourth Proportional to 362,513.51, 500,155.80 and 209,495.96

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Solution

The fourth proportional to 362,513.51, 500,155.80 and 209,495.96 is: 289,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,513.51 : 500,155.80 = 209,495.96 : x
  2. Step 2: Convert to fraction form
    362,513.51/500,155.80 = 209,495.96/x
  3. Step 3: Cross multiply
    362,513.51x = 500,155.80 × 209,495.96
  4. Step 4: Simplify right side
    362,513.51x = 104,780,619,470.57
  5. Step 5: Solve for x
    x = 104,780,619,470.57/362,513.51
  6. Step 6: Final answer
    x = 289,039.21

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1.5x scale

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.