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Finding the Fourth Proportional to 362,686.32, 500,477.76 and 209,734.56

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Solution

The fourth proportional to 362,686.32, 500,477.76 and 209,734.56 is: 289,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,686.32 : 500,477.76 = 209,734.56 : x
  2. Step 2: Convert to fraction form
    362,686.32/500,477.76 = 209,734.56/x
  3. Step 3: Cross multiply
    362,686.32x = 500,477.76 × 209,734.56
  4. Step 4: Simplify right side
    362,686.32x = 104,967,482,783.39
  5. Step 5: Solve for x
    x = 104,967,482,783.39/362,686.32
  6. Step 6: Final answer
    x = 289,416.71

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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.