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Finding the Fourth Proportional to 362,503.96, 500,189.51 and 209,486.07

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Solution

The fourth proportional to 362,503.96, 500,189.51 and 209,486.07 is: 289,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,503.96 : 500,189.51 = 209,486.07 : x
  2. Step 2: Convert to fraction form
    362,503.96/500,189.51 = 209,486.07/x
  3. Step 3: Cross multiply
    362,503.96x = 500,189.51 × 209,486.07
  4. Step 4: Simplify right side
    362,503.96x = 104,782,734,705.13
  5. Step 5: Solve for x
    x = 104,782,734,705.13/362,503.96
  6. Step 6: Final answer
    x = 289,052.66

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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.